522540128 has 192 divisors, whose sum is σ = 1277337600. Its totient is φ = 207567360.

The previous prime is 522540127. The next prime is 522540131. The reversal of 522540128 is 821045225.

It is a self number, because there is not a number n which added to its sum of digits gives 522540128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522540127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6614393 + ... + 6614471.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2^522540128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

522540128 is an abundant number, since it is smaller than the sum of its proper divisors (754797472).

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

522540128 is a wasteful number, since it uses less digits than its factorization.

522540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 522540128 is about 22859.1366416144. The cubic root of 522540128 is about 805.4524046806.

The spelling of 522540128 in words is "five hundred twenty-two million, five hundred forty thousand, one hundred twenty-eight".