12513751382681 has 2 divisors, whose sum is σ = 12513751382682. Its totient is φ = 12513751382680.

The previous prime is 12513751382677. The next prime is 12513751382689. The reversal of 12513751382681 is 18628315731521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9287201395081 + 3226549987600 = 3047491^2 + 1796260^2 .

It is a cyclic number.

It is not a de Polignac number, because 12513751382681 - 2² = 12513751382677 is a prime.

It is a super-2 number, since 2×12513751382681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12513751382689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256875691340 + 6256875691341.

It is an arithmetic number, because the mean of its divisors is an integer number (6256875691341).

Almost surely, 2^{12513751382681} is an apocalyptic number.

It is an amenable number.

12513751382681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12513751382681 is an equidigital number, since it uses as much as digits as its factorization.

12513751382681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2419200, while the sum is 53.

The spelling of 12513751382681 in words is "twelve trillion, five hundred thirteen billion, seven hundred fifty-one million, three hundred eighty-two thousand, six hundred eighty-one".