2009258055289 has 9 divisors (see below), whose sum is σ = 2015062321519. Its totient is φ = 2003470472200.

The previous prime is 2009258055257. The next prime is 2009258055313. The reversal of 2009258055289 is 9825508529002.

The square root of 2009258055289 is 1417483.

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., 809400710889 + 1199857344400 = 899667^2 + 1095380^2 .

It is not a de Polignac number, because 2009258055289 - 2⁵ = 2009258055257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009258055089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 542894139 + ... + 542897839.

Almost surely, 2^{2009258055289} is an apocalyptic number.

2009258055289 is the 1417483-rd square number.

2009258055289 is the 708742-nd centered octagonal number.

It is an amenable number.

2009258055289 is a deficient number, since it is larger than the sum of its proper divisors (5804266230).

2009258055289 is an frugal number, since it uses more digits than its factorization.

2009258055289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 55.

The spelling of 2009258055289 in words is "two trillion, nine billion, two hundred fifty-eight million, fifty-five thousand, two hundred eighty-nine".