57561152 has 42 divisors (see below), whose sum is σ = 125567694. Its totient is φ = 26160640.

The previous prime is 57561149. The next prime is 57561173. The reversal of 57561152 is 25116575.

It can be written as a sum of positive squares in only one way, i.e., 35808256 + 21752896 = 5984^2 + 4664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4028 + ... + 11460.

It is an arithmetic number, because the mean of its divisors is an integer number (2989707).

Almost surely, 2^57561152 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 57561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62783847).

57561152 is an abundant number, since it is smaller than the sum of its proper divisors (68006542).

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

57561152 is a wasteful number, since it uses less digits than its factorization.

57561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7446 counting only the distinct ones).

The product of its digits is 10500, while the sum is 32.

The square root of 57561152 is about 7586.9066160063. The cubic root of 57561152 is about 386.1089117891.

The spelling of 57561152 in words is "fifty-seven million, five hundred sixty-one thousand, one hundred fifty-two".