2585375201 has 16 divisors (see below), whose sum is σ = 2875219200. Its totient is φ = 2314505088.

The previous prime is 2585375159. The next prime is 2585375209. The reversal of 2585375201 is 1025735852.

It is a cyclic number.

It is not a de Polignac number, because 2585375201 - 2⁶ = 2585375137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585375209) 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, 24020 + ... + 75813.

It is an arithmetic number, because the mean of its divisors is an integer number (179701200).

Almost surely, 2^2585375201 is an apocalyptic number.

It is an amenable number.

2585375201 is a deficient number, since it is larger than the sum of its proper divisors (289843999).

2585375201 is a wasteful number, since it uses less digits than its factorization.

2585375201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99928.

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 2585375201 is about 50846.5849492372. The cubic root of 2585375201 is about 1372.4857991260.

The spelling of 2585375201 in words is "two billion, five hundred eighty-five million, three hundred seventy-five thousand, two hundred one".