85641126066637 has 2 divisors, whose sum is σ = 85641126066638. Its totient is φ = 85641126066636.

The previous prime is 85641126066619. The next prime is 85641126066653. The reversal of 85641126066637 is 73666062114658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85640698859076 + 427207561 = 9254226^2 + 20669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85641126066637 is a prime.

It is a super-2 number, since 2×85641126066637² (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 (85641126066607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42820563033318 + 42820563033319.

It is an arithmetic number, because the mean of its divisors is an integer number (42820563033319).

Almost surely, 2^{85641126066637} is an apocalyptic number.

It is an amenable number.

85641126066637 is a deficient number, since it is larger than the sum of its proper divisors (1).

85641126066637 is an equidigital number, since it uses as much as digits as its factorization.

85641126066637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 85641126066637 in words is "eighty-five trillion, six hundred forty-one billion, one hundred twenty-six million, sixty-six thousand, six hundred thirty-seven".