2585681321 has 16 divisors (see below), whose sum is σ = 2739139200. Its totient is φ = 2435832960.

The previous prime is 2585681303. The next prime is 2585681333. The reversal of 2585681321 is 1231865852.

It is a cyclic number.

It is not a de Polignac number, because 2585681321 - 2²² = 2581487017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585681341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 664301 + ... + 668181.

It is an arithmetic number, because the mean of its divisors is an integer number (171196200).

Almost surely, 2^2585681321 is an apocalyptic number.

It is an amenable number.

2585681321 is a deficient number, since it is larger than the sum of its proper divisors (153457879).

2585681321 is a wasteful number, since it uses less digits than its factorization.

2585681321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336.

The product of its digits is 115200, while the sum is 41.

The square root of 2585681321 is about 50849.5950917999. The cubic root of 2585681321 is about 1372.5399664762.

The spelling of 2585681321 in words is "two billion, five hundred eighty-five million, six hundred eighty-one thousand, three hundred twenty-one".