57582252 has 252 divisors, whose sum is σ = 195375936. Its totient is φ = 14696640.

The previous prime is 57582251. The next prime is 57582257. The reversal of 57582252 is 25228575.

57582252 is a `hidden beast` number, since 57 + 582 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

Its product of digits (56000) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (57582251) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1857477 + ... + 1857507.

Almost surely, 2^57582252 is an apocalyptic number.

57582252 is a gapful number since it is divisible by the number (52) 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 57582252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97687968).

57582252 is an abundant number, since it is smaller than the sum of its proper divisors (137793684).

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

57582252 is a wasteful number, since it uses less digits than its factorization.

57582252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 57582252 is about 7588.2970421564. The cubic root of 57582252 is about 386.1560842454.

The spelling of 57582252 in words is "fifty-seven million, five hundred eighty-two thousand, two hundred fifty-two".