2585563128 has 48 divisors (see below), whose sum is σ = 7004907000. Its totient is φ = 861566400.

The previous prime is 2585563117. The next prime is 2585563157. The reversal of 2585563128 is 8213655852.

2585563128 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 5 + 631 + 2 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 407323 + ... + 413621.

Almost surely, 2^2585563128 is an apocalyptic number.

It is an amenable number.

2585563128 is an abundant number, since it is smaller than the sum of its proper divisors (4419343872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585563128 is a wasteful number, since it uses less digits than its factorization.

2585563128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 12005 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 2585563128 is about 50848.4328962063. The cubic root of 2585563128 is about 1372.5190529570.

The spelling of 2585563128 in words is "two billion, five hundred eighty-five million, five hundred sixty-three thousand, one hundred twenty-eight".