Of course there is a max level. You gain levels by raising skills. Once all your skills are 100 that's it, no more levels. You will be level 81 getting 80 perks from leveling. Another 5 perks are available from a quest.
Hmmm now I am confused. I was under the impression that you got one skill/perk point per level up to level 50. After level 50 you didn't get anymore skill/perk points. So now I am confused at how you describe this system.