13761965881613 has 2 divisors, whose sum is σ = 13761965881614. Its totient is φ = 13761965881612.

The previous prime is 13761965881607. The next prime is 13761965881691. The reversal of 13761965881613 is 31618856916731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8359488473284 + 5402477408329 = 2891278^2 + 2324323^2 .

It is a cyclic number.

It is not a de Polignac number, because 13761965881613 - 2²⁸ = 13761697446157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13761965881613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13761965881693) 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, 6880982940806 + 6880982940807.

It is an arithmetic number, because the mean of its divisors is an integer number (6880982940807).

Almost surely, 2^{13761965881613} is an apocalyptic number.

It is an amenable number.

13761965881613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13761965881613 is an equidigital number, since it uses as much as digits as its factorization.

13761965881613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39191040, while the sum is 65.

The spelling of 13761965881613 in words is "thirteen trillion, seven hundred sixty-one billion, nine hundred sixty-five million, eight hundred eighty-one thousand, six hundred thirteen".