289539049127409 has 9 divisors (see below), whose sum is σ = 418223144697163. Its totient is φ = 193025998719912.

The previous prime is 289539049127323. The next prime is 289539049127431. The reversal of 289539049127409 is 904721940935982.

The square root of 289539049127409 is 17015847.

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

289539049127409 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 3 + 90 + 4 + 9 + 127 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242037455347809 + 47501593779600 = 15557553^2 + 6892140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 289539049127409 - 2²¹ = 289539047030257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (289539049127609) 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, 48211567 + ... + 53883515.

Almost surely, 2^{289539049127409} is an apocalyptic number.

289539049127409 is the 17015847-th square number.

289539049127409 is the 8507924-th centered octagonal number.

It is an amenable number.

289539049127409 is a deficient number, since it is larger than the sum of its proper divisors (128684095569754).

289539049127409 is an frugal number, since it uses more digits than its factorization.

289539049127409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343904 (or 5671952 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 289539049127409 in words is "two hundred eighty-nine trillion, five hundred thirty-nine billion, forty-nine million, one hundred twenty-seven thousand, four hundred nine".