57516 has 12 divisors (see below), whose sum is σ = 134232. Its totient is φ = 19168.

The previous prime is 57503. The next prime is 57527. The reversal of 57516 is 61575.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2385 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (11186).

2⁵⁷⁵¹⁶ is an apocalyptic number.

It is an amenable number.

57516 is an abundant number, since it is smaller than the sum of its proper divisors (76716).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67116).

57516 is a wasteful number, since it uses less digits than its factorization.

57516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 57516 is about 239.8249361514. The cubic root of 57516 is about 38.6007928462.

The spelling of 57516 in words is "fifty-seven thousand, five hundred sixteen".