8131617911 has 2 divisors, whose sum is σ = 8131617912. Its totient is φ = 8131617910.

The previous prime is 8131617881. The next prime is 8131617913. The reversal of 8131617911 is 1197161318.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8131617911 - 2⁶ = 8131617847 is a prime.

It is a super-2 number, since 2×8131617911² (a number of 21 digits) contains 22 as substring.

Together with 8131617913, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8131617913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4065808955 + 4065808956.

It is an arithmetic number, because the mean of its divisors is an integer number (4065808956).

Almost surely, 2^8131617911 is an apocalyptic number.

8131617911 is a deficient number, since it is larger than the sum of its proper divisors (1).

8131617911 is an equidigital number, since it uses as much as digits as its factorization.

8131617911 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 38.

The square root of 8131617911 is about 90175.4839798490. The cubic root of 8131617911 is about 2010.9085528144.

The spelling of 8131617911 in words is "eight billion, one hundred thirty-one million, six hundred seventeen thousand, nine hundred eleven".