2585172317 has 32 divisors (see below), whose sum is σ = 3325728000. Its totient is φ = 1954326528.

The previous prime is 2585172311. The next prime is 2585172329. The reversal of 2585172317 is 7132715852.

2585172317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2585172317 - 2¹² = 2585168221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585172311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250934 + ... + 261032.

It is an arithmetic number, because the mean of its divisors is an integer number (103929000).

Almost surely, 2^2585172317 is an apocalyptic number.

It is an amenable number.

2585172317 is a deficient number, since it is larger than the sum of its proper divisors (740555683).

2585172317 is a wasteful number, since it uses less digits than its factorization.

2585172317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245.

The product of its digits is 117600, while the sum is 41.

The square root of 2585172317 is about 50844.5898498552. The cubic root of 2585172317 is about 1372.4498968331.

The spelling of 2585172317 in words is "two billion, five hundred eighty-five million, one hundred seventy-two thousand, three hundred seventeen".