12577810681 has 2 divisors, whose sum is σ = 12577810682. Its totient is φ = 12577810680.

The previous prime is 12577810643. The next prime is 12577810691. The reversal of 12577810681 is 18601877521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11424189456 + 1153621225 = 106884^2 + 33965^2 .

It is a cyclic number.

It is not a de Polignac number, because 12577810681 - 2²¹ = 12575713529 is a prime.

It is a super-2 number, since 2×12577810681² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12577810691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6288905340 + 6288905341.

It is an arithmetic number, because the mean of its divisors is an integer number (6288905341).

Almost surely, 2^12577810681 is an apocalyptic number.

It is an amenable number.

12577810681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12577810681 is an equidigital number, since it uses as much as digits as its factorization.

12577810681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 46.

The spelling of 12577810681 in words is "twelve billion, five hundred seventy-seven million, eight hundred ten thousand, six hundred eighty-one".