659257930809 has 27 divisors (see below), whose sum is σ = 963398045389. Its totient is φ = 434424122880.

The previous prime is 659257930787. The next prime is 659257930817. The reversal of 659257930809 is 908039752956.

The square root of 659257930809 is 811947.

It is a perfect power (a square), and thus also a powerful number.

659257930809 is a `hidden beast` number, since 6 + 59 + 2 + 579 + 3 + 0 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60739081209 + 598518849600 = 246453^2 + 773640^2 .

It is not a de Polignac number, because 659257930809 - 2²⁷ = 659123713081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (659257930819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216788329 + ... + 216791369.

Almost surely, 2^659257930809 is an apocalyptic number.

659257930809 is the 811947-th square number.

659257930809 is the 405974-th centered octagonal number.

It is an amenable number.

659257930809 is a deficient number, since it is larger than the sum of its proper divisors (304140114580).

659257930809 is an frugal number, since it uses more digits than its factorization.

659257930809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 659257930809 in words is "six hundred fifty-nine billion, two hundred fifty-seven million, nine hundred thirty thousand, eight hundred nine".