557955009 has 24 divisors (see below), whose sum is σ = 823471272. Its totient is φ = 363916800.

The previous prime is 557954989. The next prime is 557955053. The reversal of 557955009 is 900559755.

557955009 is a `hidden beast` number, since 5 + 57 + 95 + 500 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493506225 + 64448784 = 22215^2 + 8028^2 .

It is not a de Polignac number, because 557955009 - 2⁹ = 557954497 is a prime.

It is a super-2 number, since 2×557955009² = 622627584136380162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557950009) 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, 189819 + ... + 192735.

It is an arithmetic number, because the mean of its divisors is an integer number (34311303).

Almost surely, 2^557955009 is an apocalyptic number.

It is an amenable number.

557955009 is a deficient number, since it is larger than the sum of its proper divisors (265516263).

557955009 is a wasteful number, since it uses less digits than its factorization.

557955009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 354375, while the sum is 45.

The square root of 557955009 is about 23621.0712923864. The cubic root of 557955009 is about 823.2525038619.

The spelling of 557955009 in words is "five hundred fifty-seven million, nine hundred fifty-five thousand, nine".