57518032 has 80 divisors (see below), whose sum is σ = 136741248. Its totient is φ = 23063040.

The previous prime is 57518029. The next prime is 57518033. The reversal of 57518032 is 23081575.

It is a junction number, because it is equal to n+sod(n) for n = 57517985 and 57518003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57518033) 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, 52078 + ... + 53170.

Almost surely, 2^57518032 is an apocalyptic number.

57518032 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 57518032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68370624).

57518032 is an abundant number, since it is smaller than the sum of its proper divisors (79223216).

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

57518032 is a wasteful number, since it uses less digits than its factorization.

57518032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 57518032 is about 7584.0643457186. The cubic root of 57518032 is about 386.0124742047.

It can be divided in two parts, 575 and 18032, that multiplied together give a square (10368400 = 3220²).

The spelling of 57518032 in words is "fifty-seven million, five hundred eighteen thousand, thirty-two".