522643968 has 320 divisors, whose sum is σ = 1932733440. Its totient is φ = 135475200.

The previous prime is 522643967. The next prime is 522643969. The reversal of 522643968 is 869346225.

522643968 is a `hidden beast` number, since 522 + 64 + 3 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (522643967) and next prime (522643969).

It is not an unprimeable number, because it can be changed into a prime (522643967) 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, 1064203 + ... + 1064693.

It is an arithmetic number, because the mean of its divisors is an integer number (6039792).

Almost surely, 2^522643968 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 522643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966366720).

522643968 is an abundant number, since it is smaller than the sum of its proper divisors (1410089472).

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

522643968 is a wasteful number, since it uses less digits than its factorization.

522643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 522643968 is about 22861.4078306652. The cubic root of 522643968 is about 805.5057547384.

It can be divided in two parts, 5226 and 43968, that added together give a palindrome (49194).

The spelling of 522643968 in words is "five hundred twenty-two million, six hundred forty-three thousand, nine hundred sixty-eight".