2585509431 has 16 divisors (see below), whose sum is σ = 3513878784. Its totient is φ = 1690628544.

The previous prime is 2585509369. The next prime is 2585509453. The reversal of 2585509431 is 1349055852.

It is not a de Polignac number, because 2585509431 - 2¹⁴ = 2585493047 is a prime.

It is a super-2 number, since 2×2585509431² = 13369718035579887522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585509231) 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 15 ways as a sum of consecutive naturals, for example, 19230 + ... + 74436.

It is an arithmetic number, because the mean of its divisors is an integer number (219617424).

Almost surely, 2^2585509431 is an apocalyptic number.

2585509431 is a deficient number, since it is larger than the sum of its proper divisors (928369353).

2585509431 is a wasteful number, since it uses less digits than its factorization.

2585509431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55510.

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 2585509431 is about 50847.9048830923. The cubic root of 2585509431 is about 1372.5095513949.

The spelling of 2585509431 in words is "two billion, five hundred eighty-five million, five hundred nine thousand, four hundred thirty-one".