57520512 has 144 divisors (see below), whose sum is σ = 192734100. Its totient is φ = 16418304.

The previous prime is 57520501. The next prime is 57520517. The reversal of 57520512 is 21502575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57520517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55939 + ... + 56957.

Almost surely, 2^57520512 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 57520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96367050).

57520512 is an abundant number, since it is smaller than the sum of its proper divisors (135213588).

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

57520512 is a wasteful number, since it uses less digits than its factorization.

57520512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57520512 is about 7584.2278446787. The cubic root of 57520512 is about 386.0180220138.

The spelling of 57520512 in words is "fifty-seven million, five hundred twenty thousand, five hundred twelve".