57636005625 has 225 divisors, whose sum is σ = 119489993931. Its totient is φ = 27656640000.

The previous prime is 57636005593. The next prime is 57636005633. The reversal of 57636005625 is 52650063675.

The square root of 57636005625 is 240075.

It is a perfect power (a square), and thus also a powerful number.

57636005625 is a `hidden beast` number, since 5 + 7 + 636 + 0 + 0 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 46706557689 + 10929447936 = 216117^2 + 104544^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 57636005625 - 2⁵ = 57636005593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 594185577 + ... + 594185673.

Almost surely, 2^57636005625 is an apocalyptic number.

57636005625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57636005625 is the 240075-th square number.

57636005625 is the 120038-th centered octagonal number.

It is an amenable number.

57636005625 is an abundant number, since it is smaller than the sum of its proper divisors (61853988306).

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

57636005625 is an frugal number, since it uses more digits than its factorization.

57636005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 57636005625 in words is "fifty-seven billion, six hundred thirty-six million, five thousand, six hundred twenty-five".