There's a few things to consider. First is where you are on the strength spectrum. A novice doing "5x5", while probably not the smartest idea in the world, isn't nearly as damaging as an advanced athlete doing "5x5". The stronger you get the more damage you can do to yourself and, as a result, the longer it takes to heal.
But even in the popular StrongLifts 5x5 novice program, deadlifts are limited to 1x5:
These are the sets and reps you do on every exercise except Deadlifts.
Deadlift is only one set of five reps (1×5) because doing more would
beat you up.
But even when in StrongLifts he refers to his program as 1x5 for deadlifts, and something like Madcow (Bill Starr modified) 5x5 says "5x5" for deadlifts, it's effectively the same: you are ramping up through 4 warmup sets to your 5 rep max.
Some realities to consider:
Anyone with a big 5 rep max (5RM) would never, and won't for long if they do, walk up and and rack on their 5RM weight and go to town for 5 sets. If they do, they most likely aren't that strong, that's not really their 5RM, or are going to get hurt soon. Remember, a 5RM means there's no way you could do a 6th.
Some programs (like SL 5x5) don't include the warmup sets in their rep count, which is why you see 1x5.
Some programs do include the warmup (ramping) sets, which is why you'll see 5x5.
You didn't list your weight, but if you're pulling 325 5RM you should see where you are on the strength spectrum. Consider saddling up with a solid program (I'm a big fan of Bill Starr's / Madcow, but there are others) to get to the advanced levels if that's where you're headed.