2585357523 has 24 divisors (see below), whose sum is σ = 4296171776. Its totient is φ = 1467558000.

The previous prime is 2585357513. The next prime is 2585357563. The reversal of 2585357523 is 3257535852.

It is a happy number.

2585357523 is a `hidden beast` number, since 2 + 5 + 8 + 53 + 575 + 23 = 666.

2585357523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2585357523 - 2⁵ = 2585357491 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585357513) 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, 126373 + ... + 145398.

Almost surely, 2^2585357523 is an apocalyptic number.

2585357523 is a deficient number, since it is larger than the sum of its proper divisors (1710814253).

2585357523 is a wasteful number, since it uses less digits than its factorization.

2585357523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271935 (or 271932 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The square root of 2585357523 is about 50846.4111122899. The cubic root of 2585357523 is about 1372.4826709070.

The spelling of 2585357523 in words is "two billion, five hundred eighty-five million, three hundred fifty-seven thousand, five hundred twenty-three".