2583825257 has 16 divisors (see below), whose sum is σ = 3101333760. Its totient is φ = 2126621952.

The previous prime is 2583825239. The next prime is 2583825259. The reversal of 2583825257 is 7525283852.

It is not a de Polignac number, because 2583825257 - 2¹⁰ = 2583824233 is a prime.

It is a super-2 number, since 2×2583825257² = 13352305917422232098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2583825259) 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, 303473 + ... + 311870.

It is an arithmetic number, because the mean of its divisors is an integer number (193833360).

Almost surely, 2^2583825257 is an apocalyptic number.

It is an amenable number.

2583825257 is a deficient number, since it is larger than the sum of its proper divisors (517508503).

2583825257 is a wasteful number, since it uses less digits than its factorization.

2583825257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615392.

The product of its digits is 1344000, while the sum is 47.

The square root of 2583825257 is about 50831.3412866511. The cubic root of 2583825257 is about 1372.2114738399.

The spelling of 2583825257 in words is "two billion, five hundred eighty-three million, eight hundred twenty-five thousand, two hundred fifty-seven".