57504912 has 80 divisors (see below), whose sum is σ = 155496000. Its totient is φ = 18289152.

The previous prime is 57504893. The next prime is 57504913. The reversal of 57504912 is 21940575.

57504912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57504913) 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 15 ways as a sum of consecutive naturals, for example, 151539 + ... + 151917.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 2^57504912 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 57504912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748000).

57504912 is an abundant number, since it is smaller than the sum of its proper divisors (97991088).

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

57504912 is a wasteful number, since it uses less digits than its factorization.

57504912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 57504912 is about 7583.1993248233. The cubic root of 57504912 is about 385.9831218514.

The spelling of 57504912 in words is "fifty-seven million, five hundred four thousand, nine hundred twelve".