2534518128289 has 9 divisors (see below), whose sum is σ = 2948329970001. Its totient is φ = 2172434557860.

The previous prime is 2534518128223. The next prime is 2534518128301. The reversal of 2534518128289 is 9828218154352.

It is a happy number.

The square root of 2534518128289 is 1592017.

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

2534518128289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2534518128289 - 2¹¹ = 2534518126241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2534518128089) 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, 11030404 + ... + 11257834.

It is an arithmetic number, because the mean of its divisors is an integer number (327592218889).

Almost surely, 2^{2534518128289} is an apocalyptic number.

2534518128289 is the 1592017-th square number.

2534518128289 is the 796009-th centered octagonal number.

It is an amenable number.

2534518128289 is a deficient number, since it is larger than the sum of its proper divisors (413811841712).

2534518128289 is an frugal number, since it uses more digits than its factorization.

2534518128289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454876 (or 227438 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 58.

The spelling of 2534518128289 in words is "two trillion, five hundred thirty-four billion, five hundred eighteen million, one hundred twenty-eight thousand, two hundred eighty-nine".