2611176585613 has 2 divisors, whose sum is σ = 2611176585614. Its totient is φ = 2611176585612.

The previous prime is 2611176585581. The next prime is 2611176585631. The reversal of 2611176585613 is 3165856711162.

Together with next prime (2611176585631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2221417355364 + 389759230249 = 1490442^2 + 624307^2 .

It is a cyclic number.

It is not a de Polignac number, because 2611176585613 - 2⁵ = 2611176585581 is a prime.

It is a super-2 number, since 2×2611176585613² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2611176582613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305588292806 + 1305588292807.

It is an arithmetic number, because the mean of its divisors is an integer number (1305588292807).

Almost surely, 2^{2611176585613} is an apocalyptic number.

It is an amenable number.

2611176585613 is a deficient number, since it is larger than the sum of its proper divisors (1).

2611176585613 is an equidigital number, since it uses as much as digits as its factorization.

2611176585613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1814400, while the sum is 52.

The spelling of 2611176585613 in words is "two trillion, six hundred eleven billion, one hundred seventy-six million, five hundred eighty-five thousand, six hundred thirteen".