2582985765889 has 9 divisors (see below), whose sum is σ = 2626123633731. Its totient is φ = 2540545306920.

The previous prime is 2582985765863. The next prime is 2582985765937. The reversal of 2582985765889 is 9885675892852.

The square root of 2582985765889 is 1607167.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83993893489 + 2498991872400 = 289817^2 + 1580820^2 .

It is not a de Polignac number, because 2582985765889 - 2⁷ = 2582985765761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2582985765289) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98024014 + ... + 98050360.

It is an arithmetic number, because the mean of its divisors is an integer number (291791514859).

Almost surely, 2^{2582985765889} is an apocalyptic number.

2582985765889 is the 1607167-th square number.

2582985765889 is the 803584-th centered octagonal number.

It is an amenable number.

2582985765889 is a deficient number, since it is larger than the sum of its proper divisors (43137867842).

2582985765889 is an frugal number, since it uses more digits than its factorization.

2582985765889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52816 (or 26408 counting only the distinct ones).

The product of its digits is 6967296000, while the sum is 82.

The spelling of 2582985765889 in words is "two trillion, five hundred eighty-two billion, nine hundred eighty-five million, seven hundred sixty-five thousand, eight hundred eighty-nine".