71564712017 has 2 divisors, whose sum is σ = 71564712018. Its totient is φ = 71564712016.

The previous prime is 71564712001. The next prime is 71564712041. The reversal of 71564712017 is 71021746517.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66386614336 + 5178097681 = 257656^2 + 71959^2 .

It is a cyclic number.

It is not a de Polignac number, because 71564712017 - 2⁴ = 71564712001 is a prime.

It is a super-2 number, since 2×71564712017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71564712917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35782356008 + 35782356009.

It is an arithmetic number, because the mean of its divisors is an integer number (35782356009).

Almost surely, 2^71564712017 is an apocalyptic number.

It is an amenable number.

71564712017 is a deficient number, since it is larger than the sum of its proper divisors (1).

71564712017 is an equidigital number, since it uses as much as digits as its factorization.

71564712017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 71564712017 in words is "seventy-one billion, five hundred sixty-four million, seven hundred twelve thousand, seventeen".