85642034517 has 12 divisors (see below), whose sum is σ = 133220942764. Its totient is φ = 52702790400.

The previous prime is 85642034483. The next prime is 85642034549. The reversal of 85642034517 is 71543024658.

85642034517 is a `hidden beast` number, since 8 + 564 + 2 + 0 + 34 + 51 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47491741476 + 38150293041 = 217926^2 + 195321^2 .

It is not a de Polignac number, because 85642034517 - 2²² = 85637840213 is a prime.

It is a super-2 number, since 2×85642034517² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642032517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365991484 + ... + 365991717.

Almost surely, 2^85642034517 is an apocalyptic number.

It is an amenable number.

85642034517 is a deficient number, since it is larger than the sum of its proper divisors (47578908247).

85642034517 is a wasteful number, since it uses less digits than its factorization.

85642034517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731983220 (or 731983217 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 85642034517 in words is "eighty-five billion, six hundred forty-two million, thirty-four thousand, five hundred seventeen".