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taken from the Wiki
Maximum Level
At higher levels, leveling up happens much more slowly. Level increases in Skyrim follow a formula (detailed above in the Gaining Levels section). Prior to Patch 1.9 the maximum level was 81, since there was no way to gain any more experience once every skill reached its maximum value of 100.
With Patch 1.9, individual skills can be made "Legendary", denoting them with an Imperial symbol. This will reset the skill to 15, and perks used for that skill may be redistributed. Gaining levels in that skill will affect leveling again, thus effectively removing the level cap of 81. There is no restriction on the number of times that skills can be made Legendary. This change makes it theoretically possible to obtain every single perk in the game.
According to the formulae, training one individual skill all the way from 15 to 100 (one mastering cycle) yields 4,930 XP. This amount of XP is enough to level from 1 to 17, or from 194 to 195. Leveling up to 252 (unlocking all perks) would take a total of 809,475 XP. This corresponds to over 164 skill mastering cycles, or mastering every skill over 9 times. The proper approach to such a huge task would be to find the easiest skill to raise and to exclusively focus on that for leveling purposes.