85175885216761 has 2 divisors, whose sum is σ = 85175885216762. Its totient is φ = 85175885216760.

The previous prime is 85175885216693. The next prime is 85175885216767. The reversal of 85175885216761 is 16761258857158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85054045125625 + 121840091136 = 9222475^2 + 349056^2 .

It is a cyclic number.

It is not a de Polignac number, because 85175885216761 - 2⁷ = 85175885216633 is a prime.

It is a super-2 number, since 2×85175885216761² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85175885216767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42587942608380 + 42587942608381.

It is an arithmetic number, because the mean of its divisors is an integer number (42587942608381).

Almost surely, 2^{85175885216761} is an apocalyptic number.

It is an amenable number.

85175885216761 is a deficient number, since it is larger than the sum of its proper divisors (1).

85175885216761 is an equidigital number, since it uses as much as digits as its factorization.

85175885216761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 225792000, while the sum is 70.

The spelling of 85175885216761 in words is "eighty-five trillion, one hundred seventy-five billion, eight hundred eighty-five million, two hundred sixteen thousand, seven hundred sixty-one".