57553452 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 16262400.

The previous prime is 57553403. The next prime is 57553471. The reversal of 57553452 is 25435575.

57553452 is a `hidden beast` number, since 5 + 75 + 534 + 52 = 666.

57553452 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 zygodrome in base 3.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 646624 + ... + 646712.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^57553452 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 57553452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

57553452 is an abundant number, since it is smaller than the sum of its proper divisors (112274388).

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

57553452 is a wasteful number, since it uses less digits than its factorization.

57553452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 57553452 is about 7586.3991458399. The cubic root of 57553452 is about 386.0916943250.

The spelling of 57553452 in words is "fifty-seven million, five hundred fifty-three thousand, four hundred fifty-two".