2585520117 has 24 divisors (see below), whose sum is σ = 3791922264. Its totient is φ = 1697439744.

The previous prime is 2585520079. The next prime is 2585520139. The reversal of 2585520117 is 7110255852.

It can be written as a sum of positive squares in 4 ways, for example, as 211004676 + 2374515441 = 14526^2 + 48729^2 .

It is not a de Polignac number, because 2585520117 - 2⁶ = 2585520053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585520517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151573 + ... + 167765.

It is an arithmetic number, because the mean of its divisors is an integer number (157996761).

Almost surely, 2^2585520117 is an apocalyptic number.

It is an amenable number.

2585520117 is a deficient number, since it is larger than the sum of its proper divisors (1206402147).

2585520117 is a wasteful number, since it uses less digits than its factorization.

2585520117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 2585520117 is about 50848.0099610594. The cubic root of 2585520117 is about 1372.5114422688.

Adding to 2585520117 its reverse (7110255852), we get a palindrome (9695775969).

The spelling of 2585520117 in words is "two billion, five hundred eighty-five million, five hundred twenty thousand, one hundred seventeen".