12562624961 has 2 divisors, whose sum is σ = 12562624962. Its totient is φ = 12562624960.

The previous prime is 12562624939. The next prime is 12562624981. The reversal of 12562624961 is 16942626521.

12562624961 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., 10209889936 + 2352735025 = 101044^2 + 48505^2 .

It is a cyclic number.

It is not a de Polignac number, because 12562624961 - 2¹⁴ = 12562608577 is a prime.

It is not a weakly prime, because it can be changed into another prime (12562624981) by changing a digit.

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 as a sum of consecutive naturals, namely, 6281312480 + 6281312481.

It is an arithmetic number, because the mean of its divisors is an integer number (6281312481).

Almost surely, 2^12562624961 is an apocalyptic number.

It is an amenable number.

12562624961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12562624961 is an equidigital number, since it uses as much as digits as its factorization.

12562624961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 44.

The spelling of 12562624961 in words is "twelve billion, five hundred sixty-two million, six hundred twenty-four thousand, nine hundred sixty-one".