289253579329 has 27 divisors (see below), whose sum is σ = 344369663337. Its totient is φ = 242665737600.

The previous prime is 289253579299. The next prime is 289253579341. The reversal of 289253579329 is 923975352982.

The square root of 289253579329 is 537823.

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 53589935025 + 235663644304 = 231495^2 + 485452^2 .

It is a de Polignac number, because none of the positive numbers 2^k-289253579329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289253579029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76906809 + ... + 76910569.

Almost surely, 2^289253579329 is an apocalyptic number.

289253579329 is the 537823-rd square number.

289253579329 is the 268912-nd centered octagonal number.

It is an amenable number.

289253579329 is a deficient number, since it is larger than the sum of its proper divisors (55116084008).

289253579329 is an frugal number, since it uses more digits than its factorization.

289253579329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 3785 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 64.

Multiplying 289253579329 by its sum of digits (64), we get a square (18512229077056 = 4302584²).

The spelling of 289253579329 in words is "two hundred eighty-nine billion, two hundred fifty-three million, five hundred seventy-nine thousand, three hundred twenty-nine".