557165000 has 80 divisors (see below), whose sum is σ = 1492022400. Its totient is φ = 191016000.

The previous prime is 557164961. The next prime is 557165003. The reversal of 557165000 is 561755.

It is not an unprimeable number, because it can be changed into a prime (557165003) 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 19 ways as a sum of consecutive naturals, for example, 27041 + ... + 42959.

It is an arithmetic number, because the mean of its divisors is an integer number (18650280).

Almost surely, 2^557165000 is an apocalyptic number.

557165000 is a gapful number since it is divisible by the number (50) 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 557165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746011200).

557165000 is an abundant number, since it is smaller than the sum of its proper divisors (934857400).

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

557165000 is a wasteful number, since it uses less digits than its factorization.

557165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 557165000 is about 23604.3428207608. The cubic root of 557165000 is about 822.8637723484.

The spelling of 557165000 in words is "five hundred fifty-seven million, one hundred sixty-five thousand".