2585409585 has 16 divisors (see below), whose sum is σ = 4512715200. Its totient is φ = 1253531840.

The previous prime is 2585409583. The next prime is 2585409613. The reversal of 2585409585 is 5859045852.

It is a happy number.

It is not a de Polignac number, because 2585409585 - 2¹ = 2585409583 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2585409583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834410 + ... + 7834739.

It is an arithmetic number, because the mean of its divisors is an integer number (282044700).

Almost surely, 2^2585409585 is an apocalyptic number.

It is an amenable number.

2585409585 is a deficient number, since it is larger than the sum of its proper divisors (1927305615).

2585409585 is a wasteful number, since it uses less digits than its factorization.

2585409585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669168.

The product of its (nonzero) digits is 2880000, while the sum is 51.

The square root of 2585409585 is about 50846.9230632494. The cubic root of 2585409585 is about 1372.4918835224.

The spelling of 2585409585 in words is "two billion, five hundred eighty-five million, four hundred nine thousand, five hundred eighty-five".