57532500 has 90 divisors (see below), whose sum is σ = 181799618. Its totient is φ = 15336000.

The previous prime is 57532483. The next prime is 57532561. The reversal of 57532500 is 523575.

57532500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 24561936 + 32970564 = 4956^2 + 5742^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21222 + ... + 23778.

Almost surely, 2^57532500 is an apocalyptic number.

57532500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90899809).

57532500 is an abundant number, since it is smaller than the sum of its proper divisors (124267118).

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

57532500 is a wasteful number, since it uses less digits than its factorization.

57532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57532500 is about 7585.0181278623. The cubic root of 57532500 is about 386.0448371587.

The spelling of 57532500 in words is "fifty-seven million, five hundred thirty-two thousand, five hundred".