12677608961 has 2 divisors, whose sum is σ = 12677608962. Its totient is φ = 12677608960.

The previous prime is 12677608939. The next prime is 12677608973. The reversal of 12677608961 is 16980677621.

12677608961 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., 12674256400 + 3352561 = 112580^2 + 1831^2 .

It is a cyclic number.

It is not a de Polignac number, because 12677608961 - 2⁶ = 12677608897 is a prime.

It is not a weakly prime, because it can be changed into another prime (12677608261) 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, 6338804480 + 6338804481.

It is an arithmetic number, because the mean of its divisors is an integer number (6338804481).

Almost surely, 2^12677608961 is an apocalyptic number.

It is an amenable number.

12677608961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12677608961 is an equidigital number, since it uses as much as digits as its factorization.

12677608961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 53.

It can be divided in two parts, 1267760 and 8961, that added together give a palindrome (1276721).

The spelling of 12677608961 in words is "twelve billion, six hundred seventy-seven million, six hundred eight thousand, nine hundred sixty-one".