57503952 has 80 divisors (see below), whose sum is σ = 180077760. Its totient is φ = 17424000.

The previous prime is 57503951. The next prime is 57503987. The reversal of 57503952 is 25930575.

57503952 is a `hidden beast` number, since 575 + 0 + 39 + 52 = 666.

57503952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503951) 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, 1299 + ... + 10802.

It is an arithmetic number, because the mean of its divisors is an integer number (2250972).

Almost surely, 2^57503952 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 57503952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90038880).

57503952 is an abundant number, since it is smaller than the sum of its proper divisors (122573808).

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

57503952 is a wasteful number, since it uses less digits than its factorization.

57503952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 57503952 is about 7583.1360267372. The cubic root of 57503952 is about 385.9809739430.

The spelling of 57503952 in words is "fifty-seven million, five hundred three thousand, nine hundred fifty-two".