57513456 has 480 divisors, whose sum is σ = 237484800. Its totient is φ = 13063680.

The previous prime is 57513451. The next prime is 57513457. The reversal of 57513456 is 65431575.

57513456 is a `hidden beast` number, since 575 + 1 + 34 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57513456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57513451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027015 + ... + 3027033.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^57513456 is an apocalyptic number.

57513456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57513456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

57513456 is an abundant number, since it is smaller than the sum of its proper divisors (179971344).

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

57513456 is a wasteful number, since it uses less digits than its factorization.

57513456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 57513456 is about 7583.7626545139. The cubic root of 57513456 is about 386.0022371836.

The spelling of 57513456 in words is "fifty-seven million, five hundred thirteen thousand, four hundred fifty-six".