57590052 has 48 divisors (see below), whose sum is σ = 146576640. Its totient is φ = 17491968.

The previous prime is 57589997. The next prime is 57590069. The reversal of 57590052 is 25009575.

It is a super-2 number, since 2×57590052² = 6633228178725408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57589995 and 57590022.

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, 9988 + ... + 14660.

It is an arithmetic number, because the mean of its divisors is an integer number (3053680).

Almost surely, 2^57590052 is an apocalyptic number.

57590052 is a gapful number since it is divisible by the number (52) 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 57590052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73288320).

57590052 is an abundant number, since it is smaller than the sum of its proper divisors (88986588).

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

57590052 is a wasteful number, since it uses less digits than its factorization.

57590052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 57590052 is about 7588.8109740591. The cubic root of 57590052 is about 386.1735194872.

The spelling of 57590052 in words is "fifty-seven million, five hundred ninety thousand, fifty-two".