iRV6500BT(stereo/tv) Question

[stcops]

We have a iRV6500BT stereo/dvd unit in our new Bullet travel trailer. We notice that, even when powered off, the unit back lights and clock stay lit. TRhere is no ready access to the power cord so I,m thinking it is hardwired. It shuts down completely when we disconnect the battery, So here is what I would like to know-

When we park overnight and need the battery to run the propane for the fridge, will this stereo drain out our battery because it stays lit?

Thanks for any help!