85417079931 has 12 divisors (see below), whose sum is σ = 127949864952. Its totient is φ = 56944719792.

The previous prime is 85417079893. The next prime is 85417079977. The reversal of 85417079931 is 13997071458.

It is a happy number.

85417079931 is a `hidden beast` number, since 8 + 541 + 7 + 0 + 7 + 9 + 93 + 1 = 666.

It is not a de Polignac number, because 85417079931 - 2²⁵ = 85383525499 is a prime.

It is a super-2 number, since 2×85417079931² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85417879931) 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 in 11 ways as a sum of consecutive naturals, for example, 175755066 + ... + 175755551.

It is an arithmetic number, because the mean of its divisors is an integer number (10662488746).

Almost surely, 2^85417079931 is an apocalyptic number.

85417079931 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85417079931 is a deficient number, since it is larger than the sum of its proper divisors (42532785021).

85417079931 is an equidigital number, since it uses as much as digits as its factorization.

85417079931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351510632 (or 351510620 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 85417079931 in words is "eighty-five billion, four hundred seventeen million, seventy-nine thousand, nine hundred thirty-one".