My PS4 shuts down when no app is running

Greetings!

I have a PS4 Slim with a strange fault, I have only found two posts online that describe this problem, but none of them had an answer I could use.

Turns out that my PS4 automatically shuts down when I'm on the menu and no app/game is running. Sometimes it won't even get to the menu, though. It seems to happen randomly, but it always triggers under those circumstances. If I run a game and want to get to the menu, it's fine and can be hours long like that. It's never turned off when in-game, it always happens when nothing is running. It doesn't seem to be an overheating issue, since it shouldn't overheat when it just turns off, so I've really got no idea as to what it could be.

I would really appreciate it if someone could lend me a hand on this, thanks in advance!