If you still have the factory radio , when the key is out of the ignition or truck just not running , the radio should have no power once either of the front doors open or you run over the adjustable timer feature ( I set mine to 10 mins ), unless you have the RA2 + radio and you are connected via blutooth and currently on a phone call .
Try this : turn off truck , fob out of ignition , pop the hood latch , get out , close drivers door , disconnect neg terminal then positive , touch the two together for approximately 10 seconds then reattach.
This procedure does a soft reset of many different modules.
If the above doesn't work , then disconnect the Negative terminal for 30 mins or overnight .
Good luck Sir !