2585791551 has 16 divisors (see below), whose sum is σ = 3950662400. Its totient is φ = 1473691968.

The previous prime is 2585791547. The next prime is 2585791573. The reversal of 2585791551 is 1551975852.

It is not a de Polignac number, because 2585791551 - 2² = 2585791547 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2585791551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585791591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154486 + ... + 170403.

It is an arithmetic number, because the mean of its divisors is an integer number (246916400).

Almost surely, 2^2585791551 is an apocalyptic number.

2585791551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2585791551 is a deficient number, since it is larger than the sum of its proper divisors (1364870849).

2585791551 is a wasteful number, since it uses less digits than its factorization.

2585791551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325278.

The product of its digits is 630000, while the sum is 48.

The square root of 2585791551 is about 50850.6789630188. The cubic root of 2585791551 is about 1372.5594704176.

The spelling of 2585791551 in words is "two billion, five hundred eighty-five million, seven hundred ninety-one thousand, five hundred fifty-one".