13513497961 has 2 divisors, whose sum is σ = 13513497962. Its totient is φ = 13513497960.

The previous prime is 13513497937. The next prime is 13513497973. The reversal of 13513497961 is 16979431531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7500426025 + 6013071936 = 86605^2 + 77544^2 .

It is a cyclic number.

It is not a de Polignac number, because 13513497961 - 2¹⁹ = 13512973673 is a prime.

It is a super-2 number, since 2×13513497961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13513497061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6756748980 + 6756748981.

It is an arithmetic number, because the mean of its divisors is an integer number (6756748981).

Almost surely, 2^13513497961 is an apocalyptic number.

It is an amenable number.

13513497961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13513497961 is an equidigital number, since it uses as much as digits as its factorization.

13513497961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 612360, while the sum is 49.

The spelling of 13513497961 in words is "thirteen billion, five hundred thirteen million, four hundred ninety-seven thousand, nine hundred sixty-one".