71165056517 has 2 divisors, whose sum is σ = 71165056518. Its totient is φ = 71165056516.

The previous prime is 71165056507. The next prime is 71165056591. The reversal of 71165056517 is 71565056117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51293643361 + 19871413156 = 226481^2 + 140966^2 .

It is a cyclic number.

It is not a de Polignac number, because 71165056517 - 2³⁶ = 2445579781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71165056507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35582528258 + 35582528259.

It is an arithmetic number, because the mean of its divisors is an integer number (35582528259).

Almost surely, 2^71165056517 is an apocalyptic number.

It is an amenable number.

71165056517 is a deficient number, since it is larger than the sum of its proper divisors (1).

71165056517 is an equidigital number, since it uses as much as digits as its factorization.

71165056517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 44.

The spelling of 71165056517 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, five hundred seventeen".