12557008313 has 2 divisors, whose sum is σ = 12557008314. Its totient is φ = 12557008312.

The previous prime is 12557008279. The next prime is 12557008337. The reversal of 12557008313 is 31380075521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11128773049 + 1428235264 = 105493^2 + 37792^2 .

It is a cyclic number.

It is not a de Polignac number, because 12557008313 - 2¹⁰ = 12557007289 is a prime.

It is a super-2 number, since 2×12557008313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12556008313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6278504156 + 6278504157.

It is an arithmetic number, because the mean of its divisors is an integer number (6278504157).

Almost surely, 2^12557008313 is an apocalyptic number.

It is an amenable number.

12557008313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12557008313 is an equidigital number, since it uses as much as digits as its factorization.

12557008313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 12557008313 in words is "twelve billion, five hundred fifty-seven million, eight thousand, three hundred thirteen".