hi dylan... you can use the intel remote keyboard app (on an iphone or android) and you have to be sure to load the intel remote keyboard host on the nuc.
once you do that you can control it with your phone once it is powered on. You can also load an app called FING, and if you enable wake on lan on the nuc, you can send a wake on lan command through FING to wake up the nuc from the sleep state.
The intel remote app is supposed to WAKE on LAN, but it isnt working (so i use fing instead). see my recent post... Intel Remote Keyboard v1.4 (with NUC5i5) Wake On Lan Issue?
you can also prolly use an IR remote control... but i dont know how to do that.
What a morning sorting out your query. Ok my 54250 uses the same receiver as yours so this info should be relevant. In my Bios I get 3 choices of IR remote.
I use RC6 although my RC6 remote also works when Generic is selected.
I've been using this one made by Aim, I don't use the dongle, no need in the NUC.
So I'd recommend a remote that uses the RC6 protocol. This one should work. http://www.quietpc.com/hp-rc6-media-remote?gclid=CNbe_PnN-cgCFQfgGwodMgENHA
Ok, testing time. In Windows the sleep button defaults to sleep grrrrr we don't want that, there is a registry hack to change sleep to power off but we won't use that, more on that later.
Power the NUC off and press the remotes sleep button and the NUC powers up ! I've tried disconnecting the power supply for a minute held the NUCs power button down to clear any residual memory reconnected the power supply and it still powers up via the remote. I can't guarantee powering up via the remote if the power supply is taken away for hours, mine never is.
So we know it'll power up, now the problem of powering off when in Windows. I trawled around the Interweb and found this free software.
LM Remote KeyMap http://www.lmgestion.net/@en-us/4/22/60/article.asp
Installed it and used the MCE profile within it. I was able to remap the sleep button to shut down. You can remap any button on the remote to do various actions.
LM Remote Keymap will load with Windows and reside in the Systray, a little red button. Pressing the remotes sleep button shuts down the NUC.
There is a reg hack if you don't want to use the Keymap described here https://social.technet.microsoft.com/Forums/windows/en-US/e517a8cc-96be-47ee-978e-ce89bb8bec40/sleep-button-action-shut-down-how but I haven't tried it.
Tested on Windows10 Pro
It is possible to turn on and off your NUC using third party Infrared remote controls. The link below gives you tested third party devices.
Intel® NUC Boards and Kits — Tested Peripherals
Now, Intel® Remote Keyboard allows you to interact with the operating system. It works with WIFI and it requires to turn the system on manually. https://downloadmirror.intel.com/24967/eng/Remote-Keyboard-User-Guide01.pdf
Wake on LAN is not supported by Intel® Remote Keyboard.