52957312 has 32 divisors (see below), whose sum is σ = 111711420. Its totient is φ = 24920064.

The previous prime is 52957309. The next prime is 52957319. The reversal of 52957312 is 21375925.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 13719616 = 6264^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52957319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9993 + ... + 14344.

Almost surely, 2^52957312 is an apocalyptic number.

It is an amenable number.

52957312 is an abundant number, since it is smaller than the sum of its proper divisors (58754108).

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

52957312 is a wasteful number, since it uses less digits than its factorization.

52957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368 (or 24356 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 52957312 is about 7277.1774748181. The cubic root of 52957312 is about 375.5277003306.

The spelling of 52957312 in words is "fifty-two million, nine hundred fifty-seven thousand, three hundred twelve".