57525900 has 72 divisors (see below), whose sum is σ = 167228880. Its totient is φ = 15267840.

The previous prime is 57525893. The next prime is 57525907. The reversal of 57525900 is 952575.

It is an interprime number because it is at equal distance from previous prime (57525893) and next prime (57525907).

It is not an unprimeable number, because it can be changed into a prime (57525907) 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, 100816 + ... + 101384.

Almost surely, 2^57525900 is an apocalyptic number.

57525900 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 57525900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614440).

57525900 is an abundant number, since it is smaller than the sum of its proper divisors (109702980).

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

57525900 is a wasteful number, since it uses less digits than its factorization.

57525900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 57525900 is about 7584.5830472083. The cubic root of 57525900 is about 386.0300745268.

The spelling of 57525900 in words is "fifty-seven million, five hundred twenty-five thousand, nine hundred".