57557052 has 72 divisors (see below), whose sum is σ = 170797536. Its totient is φ = 15997824.

The previous prime is 57557047. The next prime is 57557057. The reversal of 57557052 is 25075575.

57557052 is a `hidden beast` number, since 57 + 557 + 0 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (57557047) and next prime (57557057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57556998 and 57557016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57557057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6238 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^57557052 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 57557052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85398768).

57557052 is an abundant number, since it is smaller than the sum of its proper divisors (113240484).

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

57557052 is a wasteful number, since it uses less digits than its factorization.

57557052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 57557052 is about 7586.6364088442. The cubic root of 57557052 is about 386.0997442396.

The spelling of 57557052 in words is "fifty-seven million, five hundred fifty-seven thousand, fifty-two".