8011586117 has 2 divisors, whose sum is σ = 8011586118. Its totient is φ = 8011586116.

The previous prime is 8011586101. The next prime is 8011586119. The reversal of 8011586117 is 7116851108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5795624641 + 2215961476 = 76129^2 + 47074^2 .

It is a cyclic number.

It is not a de Polignac number, because 8011586117 - 2⁴ = 8011586101 is a prime.

It is a super-2 number, since 2×8011586117² (a number of 21 digits) contains 22 as substring.

Together with 8011586119, 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 (8011586119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4005793058 + 4005793059.

It is an arithmetic number, because the mean of its divisors is an integer number (4005793059).

Almost surely, 2^8011586117 is an apocalyptic number.

It is an amenable number.

8011586117 is a deficient number, since it is larger than the sum of its proper divisors (1).

8011586117 is an equidigital number, since it uses as much as digits as its factorization.

8011586117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 38.

The square root of 8011586117 is about 89507.4640295434. The cubic root of 8011586117 is about 2000.9650440201.

The spelling of 8011586117 in words is "eight billion, eleven million, five hundred eighty-six thousand, one hundred seventeen".