85205172582 has 24 divisors (see below), whose sum is σ = 184734916704. Its totient is φ = 28382691984.

The previous prime is 85205172523. The next prime is 85205172587. The reversal of 85205172582 is 28527150258.

85205172582 is a `hidden beast` number, since 8 + 52 + 0 + 5 + 17 + 2 + 582 = 666.

It is a super-3 number, since 3×85205172582³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85205172587) 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, 1558398 + ... + 1612145.

It is an arithmetic number, because the mean of its divisors is an integer number (7697288196).

Almost surely, 2^85205172582 is an apocalyptic number.

85205172582 is an abundant number, since it is smaller than the sum of its proper divisors (99529744122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85205172582 is a wasteful number, since it uses less digits than its factorization.

85205172582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172044 (or 3172041 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 85205172582 in words is "eighty-five billion, two hundred five million, one hundred seventy-two thousand, five hundred eighty-two".