557365536 has 480 divisors, whose sum is σ = 2151515520. Its totient is φ = 137355264.

The previous prime is 557365517. The next prime is 557365541. The reversal of 557365536 is 635563755.

It is a happy number.

557365536 is a `hidden beast` number, since 5 + 57 + 3 + 65 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 557365491 and 557365500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4009755 + ... + 4009893.

It is an arithmetic number, because the mean of its divisors is an integer number (4482324).

Almost surely, 2^557365536 is an apocalyptic number.

557365536 is a gapful number since it is divisible by the number (56) 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 557365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075757760).

557365536 is an abundant number, since it is smaller than the sum of its proper divisors (1594149984).

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

557365536 is a wasteful number, since it uses less digits than its factorization.

557365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 1417500, while the sum is 45.

The square root of 557365536 is about 23608.5903009900. The cubic root of 557365536 is about 822.9624827939.

The spelling of 557365536 in words is "five hundred fifty-seven million, three hundred sixty-five thousand, five hundred thirty-six".