13057953761 has 2 divisors, whose sum is σ = 13057953762. Its totient is φ = 13057953760.

The previous prime is 13057953653. The next prime is 13057953781. The reversal of 13057953761 is 16735975031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12369888400 + 688065361 = 111220^2 + 26231^2 .

It is a cyclic number.

It is not a de Polignac number, because 13057953761 - 2¹⁴ = 13057937377 is a prime.

It is not a weakly prime, because it can be changed into another prime (13057953781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528976880 + 6528976881.

It is an arithmetic number, because the mean of its divisors is an integer number (6528976881).

Almost surely, 2^13057953761 is an apocalyptic number.

It is an amenable number.

13057953761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057953761 is an equidigital number, since it uses as much as digits as its factorization.

13057953761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 595350, while the sum is 47.

The spelling of 13057953761 in words is "thirteen billion, fifty-seven million, nine hundred fifty-three thousand, seven hundred sixty-one".