825766586089 has 9 divisors (see below), whose sum is σ = 839582022981. Its totient is φ = 812174905920.

The previous prime is 825766585991. The next prime is 825766586119. The reversal of 825766586089 is 980685667528.

The square root of 825766586089 is 908717.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5488587225 + 820277998864 = 74085^2 + 905692^2 .

It is not a de Polignac number, because 825766586089 - 2³³ = 817176651497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825766586189) 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, 55424289 + ... + 55439185.

Almost surely, 2^825766586089 is an apocalyptic number.

825766586089 is the 908717-th square number.

825766586089 is the 454359-th centered octagonal number.

It is an amenable number.

825766586089 is a deficient number, since it is larger than the sum of its proper divisors (13815436892).

825766586089 is an frugal number, since it uses more digits than its factorization.

825766586089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29916 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 70.

The spelling of 825766586089 in words is "eight hundred twenty-five billion, seven hundred sixty-six million, five hundred eighty-six thousand, eighty-nine".