2585213273 has 16 divisors (see below), whose sum is σ = 2828214144. Its totient is φ = 2353109760.

The previous prime is 2585213263. The next prime is 2585213329. The reversal of 2585213273 is 3723125852.

2585213273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2585213273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585213233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92738 + ... + 117348.

It is an arithmetic number, because the mean of its divisors is an integer number (176763384).

Almost surely, 2^2585213273 is an apocalyptic number.

It is an amenable number.

2585213273 is a deficient number, since it is larger than the sum of its proper divisors (243000871).

2585213273 is a wasteful number, since it uses less digits than its factorization.

2585213273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24832.

The product of its digits is 100800, while the sum is 38.

The square root of 2585213273 is about 50844.9926049754. The cubic root of 2585213273 is about 1372.4571445462.

The spelling of 2585213273 in words is "two billion, five hundred eighty-five million, two hundred thirteen thousand, two hundred seventy-three".