85727811317 has 2 divisors, whose sum is σ = 85727811318. Its totient is φ = 85727811316.

The previous prime is 85727811271. The next prime is 85727811319. The reversal of 85727811317 is 71311872758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85660997041 + 66814276 = 292679^2 + 8174^2 .

It is a cyclic number.

It is not a de Polignac number, because 85727811317 - 2²⁰ = 85726762741 is a prime.

Together with 85727811319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85727811319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42863905658 + 42863905659.

It is an arithmetic number, because the mean of its divisors is an integer number (42863905659).

Almost surely, 2^85727811317 is an apocalyptic number.

It is an amenable number.

85727811317 is a deficient number, since it is larger than the sum of its proper divisors (1).

85727811317 is an equidigital number, since it uses as much as digits as its factorization.

85727811317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 658560, while the sum is 50.

The spelling of 85727811317 in words is "eighty-five billion, seven hundred twenty-seven million, eight hundred eleven thousand, three hundred seventeen".