57536512 has 52 divisors (see below), whose sum is σ = 125617176. Its totient is φ = 26132480.

The previous prime is 57536509. The next prime is 57536519. The reversal of 57536512 is 21563575.

It is a super-2 number, since 2×57536512² = 6620900426252288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57536519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44418 + ... + 45694.

Almost surely, 2^57536512 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 57536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62808588).

57536512 is an abundant number, since it is smaller than the sum of its proper divisors (68080664).

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

57536512 is a wasteful number, since it uses less digits than its factorization.

57536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1290 counting only the distinct ones).

The product of its digits is 31500, while the sum is 34.

The square root of 57536512 is about 7585.2825919672. The cubic root of 57536512 is about 386.0538104978.

The spelling of 57536512 in words is "fifty-seven million, five hundred thirty-six thousand, five hundred twelve".