85517315713 has 2 divisors, whose sum is σ = 85517315714. Its totient is φ = 85517315712.

The previous prime is 85517315677. The next prime is 85517315743. The reversal of 85517315713 is 31751371558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68860057744 + 16657257969 = 262412^2 + 129063^2 .

It is a cyclic number.

It is not a de Polignac number, because 85517315713 - 2²⁵ = 85483761281 is a prime.

It is a super-2 number, since 2×85517315713² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85517315743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42758657856 + 42758657857.

It is an arithmetic number, because the mean of its divisors is an integer number (42758657857).

Almost surely, 2^85517315713 is an apocalyptic number.

It is an amenable number.

85517315713 is a deficient number, since it is larger than the sum of its proper divisors (1).

85517315713 is an equidigital number, since it uses as much as digits as its factorization.

85517315713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 441000, while the sum is 46.

The spelling of 85517315713 in words is "eighty-five billion, five hundred seventeen million, three hundred fifteen thousand, seven hundred thirteen".