557112330 has 160 divisors (see below), whose sum is σ = 1594034640. Its totient is φ = 139345920.

The previous prime is 557112323. The next prime is 557112337. The reversal of 557112330 is 33211755.

It is an interprime number because it is at equal distance from previous prime (557112323) and next prime (557112337).

It can be written as a sum of positive squares in 8 ways, for example, as 479478609 + 77633721 = 21897^2 + 8811^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 557112294 and 557112303.

It is not an unprimeable number, because it can be changed into a prime (557112337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 868810 + ... + 869450.

Almost surely, 2^557112330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797017320).

557112330 is an abundant number, since it is smaller than the sum of its proper divisors (1036922310).

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

557112330 is a wasteful number, since it uses less digits than its factorization.

557112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 557112330 is about 23603.2271098678. The cubic root of 557112330 is about 822.8378425068.

The spelling of 557112330 in words is "five hundred fifty-seven million, one hundred twelve thousand, three hundred thirty".