2585606013 has 24 divisors (see below), whose sum is σ = 3969526080. Its totient is φ = 1617148800.

The previous prime is 2585606003. The next prime is 2585606021. The reversal of 2585606013 is 3106065852.

2585606013 is a `hidden beast` number, since 2 + 585 + 6 + 0 + 60 + 13 = 666.

It is not a de Polignac number, because 2585606013 - 2⁶ = 2585605949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585606003) 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 23 ways as a sum of consecutive naturals, for example, 55788 + ... + 91013.

It is an arithmetic number, because the mean of its divisors is an integer number (165396920).

Almost surely, 2^2585606013 is an apocalyptic number.

It is an amenable number.

2585606013 is a deficient number, since it is larger than the sum of its proper divisors (1383920067).

2585606013 is a wasteful number, since it uses less digits than its factorization.

2585606013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146929 (or 146926 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2585606013 is about 50848.8545888696. The cubic root of 2585606013 is about 1372.5266412657.

The spelling of 2585606013 in words is "two billion, five hundred eighty-five million, six hundred six thousand, thirteen".