71165056129 has 2 divisors, whose sum is σ = 71165056130. Its totient is φ = 71165056128.

The previous prime is 71165056103. The next prime is 71165056133. The reversal of 71165056129 is 92165056117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69915292225 + 1249763904 = 264415^2 + 35352^2 .

It is a cyclic number.

It is not a de Polignac number, because 71165056129 - 2²³ = 71156667521 is a prime.

It is not a weakly prime, because it can be changed into another prime (71165056169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35582528064 + 35582528065.

It is an arithmetic number, because the mean of its divisors is an integer number (35582528065).

Almost surely, 2^71165056129 is an apocalyptic number.

It is an amenable number.

71165056129 is a deficient number, since it is larger than the sum of its proper divisors (1).

71165056129 is an equidigital number, since it uses as much as digits as its factorization.

71165056129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 71165056129 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, one hundred twenty-nine".