589874689089 has 135 divisors (see below), whose sum is σ = 1045529823987. Its totient is φ = 330463094976.

The previous prime is 589874689069. The next prime is 589874689093. The reversal of 589874689089 is 980986478985.

The square root of 589874689089 is 768033.

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., 334841609025 + 255033080064 = 578655^2 + 505008^2 .

It is not a de Polignac number, because 589874689089 - 2²⁵ = 589841134657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 589874688999 and 589874689017.

It is not an unprimeable number, because it can be changed into a prime (589874689039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3532183684 + ... + 3532183850.

Almost surely, 2^589874689089 is an apocalyptic number.

589874689089 is the 768033-rd square number.

589874689089 is the 384017-th centered octagonal number.

It is an amenable number.

589874689089 is a deficient number, since it is larger than the sum of its proper divisors (455655134898).

589874689089 is an frugal number, since it uses more digits than its factorization.

589874689089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

Multiplying 589874689089 by its sum of digits (81), we get a square (47779849816209 = 6912297²).

589874689089 divided by its sum of digits (81) gives a square (7282403569 = 85337²).

The spelling of 589874689089 in words is "five hundred eighty-nine billion, eight hundred seventy-four million, six hundred eighty-nine thousand, eighty-nine".