71667071506717 has 2 divisors, whose sum is σ = 71667071506718. Its totient is φ = 71667071506716.

The previous prime is 71667071506699. The next prime is 71667071506769. The reversal of 71667071506717 is 71760517076617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60069103181476 + 11597968325241 = 7750426^2 + 3405579^2 .

It is an emirp because it is prime and its reverse (71760517076617) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71667071506717 - 2¹¹ = 71667071504669 is a prime.

It is a super-2 number, since 2×71667071506717² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71667071506787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35833535753358 + 35833535753359.

It is an arithmetic number, because the mean of its divisors is an integer number (35833535753359).

Almost surely, 2^{71667071506717} is an apocalyptic number.

It is an amenable number.

71667071506717 is a deficient number, since it is larger than the sum of its proper divisors (1).

71667071506717 is an equidigital number, since it uses as much as digits as its factorization.

71667071506717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18151560, while the sum is 61.

The spelling of 71667071506717 in words is "seventy-one trillion, six hundred sixty-seven billion, seventy-one million, five hundred six thousand, seven hundred seventeen".