57652564 has 24 divisors (see below), whose sum is σ = 103036808. Its totient is φ = 28218240.

The previous prime is 57652561. The next prime is 57652571. The reversal of 57652564 is 46525675.

It can be written as a sum of positive squares in 4 ways, for example, as 7128900 + 50523664 = 2670^2 + 7108^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57652561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67162 + ... + 68014.

Almost surely, 2^57652564 is an apocalyptic number.

It is an amenable number.

57652564 is a deficient number, since it is larger than the sum of its proper divisors (45384244).

57652564 is a wasteful number, since it uses less digits than its factorization.

57652564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its digits is 252000, while the sum is 40.

The square root of 57652564 is about 7592.9285522781. The cubic root of 57652564 is about 386.3131949400.

The spelling of 57652564 in words is "fifty-seven million, six hundred fifty-two thousand, five hundred sixty-four".