656011516009 has 2 divisors, whose sum is σ = 656011516010. Its totient is φ = 656011516008.

The previous prime is 656011515959. The next prime is 656011516031. The reversal of 656011516009 is 900615110656.

656011516009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559162963984 + 96848552025 = 747772^2 + 311205^2 .

It is a cyclic number.

It is not a de Polignac number, because 656011516009 - 2¹⁹ = 656010991721 is a prime.

It is a super-2 number, since 2×656011516009² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (656011516049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328005758004 + 328005758005.

It is an arithmetic number, because the mean of its divisors is an integer number (328005758005).

Almost surely, 2^656011516009 is an apocalyptic number.

It is an amenable number.

656011516009 is a deficient number, since it is larger than the sum of its proper divisors (1).

656011516009 is an equidigital number, since it uses as much as digits as its factorization.

656011516009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 40.

The spelling of 656011516009 in words is "six hundred fifty-six billion, eleven million, five hundred sixteen thousand, nine".