2585327525 has 24 divisors (see below), whose sum is σ = 3617848800. Its totient is φ = 1815396800.

The previous prime is 2585327497. The next prime is 2585327533. The reversal of 2585327525 is 5257235852.

It is not a de Polignac number, because 2585327525 - 2¹⁰ = 2585326501 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154115 + ... + 170064.

It is an arithmetic number, because the mean of its divisors is an integer number (150743700).

Almost surely, 2^2585327525 is an apocalyptic number.

2585327525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2585327525 is a deficient number, since it is larger than the sum of its proper divisors (1032521275).

2585327525 is a wasteful number, since it uses less digits than its factorization.

2585327525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324229 (or 324224 counting only the distinct ones).

The product of its digits is 840000, while the sum is 44.

The square root of 2585327525 is about 50846.1161250296. The cubic root of 2585327525 is about 1372.4773625639.

It can be divided in two parts, 2585327 and 525, that added together give a palindrome (2585852).

The spelling of 2585327525 in words is "two billion, five hundred eighty-five million, three hundred twenty-seven thousand, five hundred twenty-five".