557168625 has 192 divisors, whose sum is σ = 1202003712. Its totient is φ = 255052800.

The previous prime is 557168609. The next prime is 557168641. The reversal of 557168625 is 526861755.

557168625 is a `hidden beast` number, since 5 + 5 + 7 + 16 + 8 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (557168609) and next prime (557168641).

It is not a de Polignac number, because 557168625 - 2⁴ = 557168609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6712834 + ... + 6712916.

It is an arithmetic number, because the mean of its divisors is an integer number (6260436).

Almost surely, 2^557168625 is an apocalyptic number.

It is an amenable number.

557168625 is an abundant number, since it is smaller than the sum of its proper divisors (644835087).

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

557168625 is a wasteful number, since it uses less digits than its factorization.

557168625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 557168625 is about 23604.4196073532. The cubic root of 557168625 is about 822.8655569034.

The spelling of 557168625 in words is "five hundred fifty-seven million, one hundred sixty-eight thousand, six hundred twenty-five".