2585767263 has 8 divisors (see below), whose sum is σ = 3448052400. Its totient is φ = 1723663488.

The previous prime is 2585767241. The next prime is 2585767271. The reversal of 2585767263 is 3627675852.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2585767263 - 2¹⁷ = 2585636191 is a prime.

It is a super-4 number, since 4×2585767263⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585767363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7578 + ... + 72311.

It is an arithmetic number, because the mean of its divisors is an integer number (431006550).

Almost surely, 2^2585767263 is an apocalyptic number.

2585767263 is a deficient number, since it is larger than the sum of its proper divisors (862285137).

2585767263 is a wasteful number, since it uses less digits than its factorization.

2585767263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90681.

The product of its digits is 4233600, while the sum is 51.

The square root of 2585767263 is about 50850.4401455877. The cubic root of 2585767263 is about 1372.5551729806. Note that the first 3 decimals are identical.

The spelling of 2585767263 in words is "two billion, five hundred eighty-five million, seven hundred sixty-seven thousand, two hundred sixty-three".