2584413289 has 2 divisors, whose sum is σ = 2584413290. Its totient is φ = 2584413288.

The previous prime is 2584413283. The next prime is 2584413313. The reversal of 2584413289 is 9823144852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1943310889 + 641102400 = 44083^2 + 25320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584413289 - 2²⁹ = 2047542377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2584413283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292206644 + 1292206645.

It is an arithmetic number, because the mean of its divisors is an integer number (1292206645).

Almost surely, 2^2584413289 is an apocalyptic number.

It is an amenable number.

2584413289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584413289 is an equidigital number, since it uses as much as digits as its factorization.

2584413289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 552960, while the sum is 46.

The square root of 2584413289 is about 50837.1251055761. The cubic root of 2584413289 is about 1372.3155628001.

The spelling of 2584413289 in words is "two billion, five hundred eighty-four million, four hundred thirteen thousand, two hundred eighty-nine".