13028612973289 has 9 divisors (see below), whose sum is σ = 13354286224261. Its totient is φ = 12710697544480.

The previous prime is 13028612973227. The next prime is 13028612973307. The reversal of 13028612973289 is 98237921682031.

The square root of 13028612973289 is 3609517.

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 1271312625625 + 11757300347664 = 1127525^2 + 3428892^2 .

It is not a de Polignac number, because 13028612973289 - 2¹³ = 13028612965097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13028612913289) 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, 147946179 + ... + 148034215.

Almost surely, 2^{13028612973289} is an apocalyptic number.

13028612973289 is the 3609517-th square number.

13028612973289 is the 1804759-th centered octagonal number.

It is an amenable number.

13028612973289 is a deficient number, since it is larger than the sum of its proper divisors (325673250972).

13028612973289 is an frugal number, since it uses more digits than its factorization.

13028612973289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176156 (or 88078 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 13028612973289 in words is "thirteen trillion, twenty-eight billion, six hundred twelve million, nine hundred seventy-three thousand, two hundred eighty-nine".