57352512 has 112 divisors (see below), whose sum is σ = 175239680. Its totient is φ = 16215552.

The previous prime is 57352489. The next prime is 57352531. The reversal of 57352512 is 21525375.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 57352512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186663 + ... + 186969.

It is an arithmetic number, because the mean of its divisors is an integer number (1564640).

Almost surely, 2^57352512 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 57352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87619840).

57352512 is an abundant number, since it is smaller than the sum of its proper divisors (117887168).

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

57352512 is a wasteful number, since it uses less digits than its factorization.

57352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 57352512 is about 7573.1441290920. The cubic root of 57352512 is about 385.6418416170.

Adding to 57352512 its reverse (21525375), we get a palindrome (78877887).

The spelling of 57352512 in words is "fifty-seven million, three hundred fifty-two thousand, five hundred twelve".