2585211213 has 32 divisors (see below), whose sum is σ = 3841326720. Its totient is φ = 1536353280.

The previous prime is 2585211173. The next prime is 2585211229. The reversal of 2585211213 is 3121125852.

It is not a de Polignac number, because 2585211213 - 2⁶ = 2585211149 is a prime.

It is a super-3 number, since 3×2585211213³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585211313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140593 + ... + 157913.

It is an arithmetic number, because the mean of its divisors is an integer number (120041460).

Almost surely, 2^2585211213 is an apocalyptic number.

It is an amenable number.

2585211213 is a deficient number, since it is larger than the sum of its proper divisors (1256115507).

2585211213 is a wasteful number, since it uses less digits than its factorization.

2585211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469.

The product of its digits is 4800, while the sum is 30.

The square root of 2585211213 is about 50844.9723473226. The cubic root of 2585211213 is about 1372.4567800034.

The spelling of 2585211213 in words is "two billion, five hundred eighty-five million, two hundred eleven thousand, two hundred thirteen".