57513200 has 60 divisors (see below), whose sum is σ = 140575080. Its totient is φ = 22606080.

The previous prime is 57513191. The next prime is 57513251. The reversal of 57513200 is 231575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22382 + ... + 24818.

It is an arithmetic number, because the mean of its divisors is an integer number (2342918).

Almost surely, 2^57513200 is an apocalyptic number.

57513200 is a gapful number since it is divisible by the number (50) 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 57513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70287540).

57513200 is an abundant number, since it is smaller than the sum of its proper divisors (83061880).

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

57513200 is a wasteful number, since it uses less digits than its factorization.

57513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 57513200 is about 7583.7457763298. The cubic root of 57513200 is about 386.0016644670.

Adding to 57513200 its reverse (231575), we get a palindrome (57744775).

The spelling of 57513200 in words is "fifty-seven million, five hundred thirteen thousand, two hundred".