2585609225 has 24 divisors (see below), whose sum is σ = 3237917760. Its totient is φ = 2048072000.

The previous prime is 2585609209. The next prime is 2585609233. The reversal of 2585609225 is 5229065852.

It is not a de Polignac number, because 2585609225 - 2⁴ = 2585609209 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2747255 + ... + 2748195.

It is an arithmetic number, because the mean of its divisors is an integer number (134913240).

Almost surely, 2^2585609225 is an apocalyptic number.

2585609225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2585609225 is a deficient number, since it is larger than the sum of its proper divisors (652308535).

2585609225 is a wasteful number, since it uses less digits than its factorization.

2585609225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The square root of 2585609225 is about 50848.8861726587. The cubic root of 2585609225 is about 1372.5272096114.

The spelling of 2585609225 in words is "two billion, five hundred eighty-five million, six hundred nine thousand, two hundred twenty-five".