253008585 has 12 divisors (see below), whose sum is σ = 438548292. Its totient is φ = 134937888.

The previous prime is 253008563. The next prime is 253008593. The reversal of 253008585 is 585800352.

253008585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31236921 + 221771664 = 5589^2 + 14892^2 .

It is not a de Polignac number, because 253008585 - 2¹⁵ = 252975817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811162 + ... + 2811251.

It is an arithmetic number, because the mean of its divisors is an integer number (36545691).

Almost surely, 2^253008585 is an apocalyptic number.

It is an amenable number.

253008585 is a deficient number, since it is larger than the sum of its proper divisors (185539707).

253008585 is a wasteful number, since it uses less digits than its factorization.

253008585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622424 (or 5622421 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 253008585 is about 15906.2435854604. The cubic root of 253008585 is about 632.4775080922.

The spelling of 253008585 in words is "two hundred fifty-three million, eight thousand, five hundred eighty-five".