172585585271 has 12 divisors (see below), whose sum is σ = 191579757432. Its totient is φ = 155342550000.

The previous prime is 172585585201. The next prime is 172585585303.

172585585271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 172585585271 - 2²² = 172581390967 is a prime.

It is a super-3 number, since 3×172585585271³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172585585201) 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, 7048805 + ... + 7073246.

It is an arithmetic number, because the mean of its divisors is an integer number (15964979786).

Almost surely, 2^172585585271 is an apocalyptic number.

172585585271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172585585271 is a deficient number, since it is larger than the sum of its proper divisors (18994172161).

172585585271 is a wasteful number, since it uses less digits than its factorization.

172585585271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14122174 (or 14122163 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 56.

The spelling of 172585585271 in words is "one hundred seventy-two billion, five hundred eighty-five million, five hundred eighty-five thousand, two hundred seventy-one".