557610516 has 72 divisors (see below), whose sum is σ = 1479016448. Its totient is φ = 176904000.

The previous prime is 557610511. The next prime is 557610527. The reversal of 557610516 is 615016755.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557610511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63981 + ... + 72171.

Almost surely, 2^557610516 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 557610516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739508224).

557610516 is an abundant number, since it is smaller than the sum of its proper divisors (921405932).

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

557610516 is a wasteful number, since it uses less digits than its factorization.

557610516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 557610516 is about 23613.7780966960. The cubic root of 557610516 is about 823.0830379205.

The spelling of 557610516 in words is "five hundred fifty-seven million, six hundred ten thousand, five hundred sixteen".