11517534259081 has 2 divisors, whose sum is σ = 11517534259082. Its totient is φ = 11517534259080.

The previous prime is 11517534259067. The next prime is 11517534259111. The reversal of 11517534259081 is 18095243571511.

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., 9792462162681 + 1725072096400 = 3129291^2 + 1313420^2 .

It is a cyclic number.

It is not a de Polignac number, because 11517534259081 - 2⁹ = 11517534258569 is a prime.

It is a super-2 number, since 2×11517534259081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11511534259081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758767129540 + 5758767129541.

It is an arithmetic number, because the mean of its divisors is an integer number (5758767129541).

Almost surely, 2^{11517534259081} is an apocalyptic number.

It is an amenable number.

11517534259081 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517534259081 is an equidigital number, since it uses as much as digits as its factorization.

11517534259081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 52.

The spelling of 11517534259081 in words is "eleven trillion, five hundred seventeen billion, five hundred thirty-four million, two hundred fifty-nine thousand, eighty-one".