522083048256 has 1008 divisors, whose sum is σ = 1952595275904. Its totient is φ = 130470912000.

The previous prime is 522083048219. The next prime is 522083048293. The reversal of 522083048256 is 652840380225.

522083048256 is a `hidden beast` number, since 522 + 0 + 8 + 30 + 48 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (522083048219) and next prime (522083048293).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1577290011 + ... + 1577290341.

It is an arithmetic number, because the mean of its divisors is an integer number (1937098488).

Almost surely, 2^522083048256 is an apocalyptic number.

522083048256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522083048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976297637952).

522083048256 is an abundant number, since it is smaller than the sum of its proper divisors (1430512227648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

522083048256 is a wasteful number, since it uses less digits than its factorization.

522083048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 522083048256 in words is "five hundred twenty-two billion, eighty-three million, forty-eight thousand, two hundred fifty-six".