57513616 has 40 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 27367296.

The previous prime is 57513607. The next prime is 57513619. The reversal of 57513616 is 61631575.

57513616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57513616³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57513619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137055 + ... + 137473.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2^57513616 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 57513616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

57513616 is an abundant number, since it is smaller than the sum of its proper divisors (59353904).

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

57513616 is a wasteful number, since it uses less digits than its factorization.

57513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 57513616 is about 7583.7732033599. The cubic root of 57513616 is about 386.0025951305.

The spelling of 57513616 in words is "fifty-seven million, five hundred thirteen thousand, six hundred sixteen".