85909071137 has 2 divisors, whose sum is σ = 85909071138. Its totient is φ = 85909071136.

The previous prime is 85909071097. The next prime is 85909071139. The reversal of 85909071137 is 73117090958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81197072401 + 4711998736 = 284951^2 + 68644^2 .

It is a cyclic number.

It is not a de Polignac number, because 85909071137 - 2²⁶ = 85841962273 is a prime.

Together with 85909071139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85909071139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42954535568 + 42954535569.

It is an arithmetic number, because the mean of its divisors is an integer number (42954535569).

Almost surely, 2^85909071137 is an apocalyptic number.

It is an amenable number.

85909071137 is a deficient number, since it is larger than the sum of its proper divisors (1).

85909071137 is an equidigital number, since it uses as much as digits as its factorization.

85909071137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 50.

The spelling of 85909071137 in words is "eighty-five billion, nine hundred nine million, seventy-one thousand, one hundred thirty-seven".