71361816317 has 12 divisors (see below), whose sum is σ = 83053083708. Its totient is φ = 61058236800.

The previous prime is 71361816307. The next prime is 71361816353.

71361816317 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 67112601721 + 4249214596 = 259061^2 + 65186^2 .

It is not a de Polignac number, because 71361816317 - 2⁸ = 71361816061 is a prime.

It is a super-2 number, since 2×71361816317² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71361816307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17344034 + ... + 17348147.

It is an arithmetic number, because the mean of its divisors is an integer number (6921090309).

Almost surely, 2^71361816317 is an apocalyptic number.

It is an amenable number.

71361816317 is a deficient number, since it is larger than the sum of its proper divisors (11691267391).

71361816317 is a wasteful number, since it uses less digits than its factorization.

71361816317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34692220 (or 34692209 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The spelling of 71361816317 in words is "seventy-one billion, three hundred sixty-one million, eight hundred sixteen thousand, three hundred seventeen".