557513264 has 80 divisors (see below), whose sum is σ = 1365388800. Its totient is φ = 214202880.

The previous prime is 557513263. The next prime is 557513267. The reversal of 557513264 is 462315755.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (557513263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86837 + ... + 93035.

It is an arithmetic number, because the mean of its divisors is an integer number (17067360).

Almost surely, 2^557513264 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 557513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682694400).

557513264 is an abundant number, since it is smaller than the sum of its proper divisors (807875536).

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

557513264 is a wasteful number, since it uses less digits than its factorization.

557513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6292 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 557513264 is about 23611.7187853828. The cubic root of 557513264 is about 823.0351842524.

The spelling of 557513264 in words is "five hundred fifty-seven million, five hundred thirteen thousand, two hundred sixty-four".