57530952 has 64 divisors (see below), whose sum is σ = 161784000. Its totient is φ = 18940032.

The previous prime is 57530951. The next prime is 57530953. The reversal of 57530952 is 25903575.

57530952 is a `hidden beast` number, since 575 + 30 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (57530951) and next prime (57530953).

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

It is not an unprimeable number, because it can be changed into a prime (57530951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16324 + ... + 19532.

It is an arithmetic number, because the mean of its divisors is an integer number (2527875).

Almost surely, 2^57530952 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 57530952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80892000).

57530952 is an abundant number, since it is smaller than the sum of its proper divisors (104253048).

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

57530952 is a wasteful number, since it uses less digits than its factorization.

57530952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 57530952 is about 7584.9160839129. The cubic root of 57530952 is about 386.0413747519.

The spelling of 57530952 in words is "fifty-seven million, five hundred thirty thousand, nine hundred fifty-two".