11517611025553 has 2 divisors, whose sum is σ = 11517611025554. Its totient is φ = 11517611025552.

The previous prime is 11517611025509. The next prime is 11517611025587. The reversal of 11517611025553 is 35552011671511.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11056343211664 + 461267813889 = 3325108^2 + 679167^2 .

It is a cyclic number.

It is not a de Polignac number, because 11517611025553 - 2²⁵ = 11517577471121 is a prime.

It is not a weakly prime, because it can be changed into another prime (11517611025953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758805512776 + 5758805512777.

It is an arithmetic number, because the mean of its divisors is an integer number (5758805512777).

Almost surely, 2^{11517611025553} is an apocalyptic number.

It is an amenable number.

11517611025553 is a deficient number, since it is larger than the sum of its proper divisors (1).

11517611025553 is an equidigital number, since it uses as much as digits as its factorization.

11517611025553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157500, while the sum is 43.

The spelling of 11517611025553 in words is "eleven trillion, five hundred seventeen billion, six hundred eleven million, twenty-five thousand, five hundred fifty-three".