13889522728225 has 27 divisors (see below), whose sum is σ = 17598361586547. Its totient is φ = 10874515031280.

The previous prime is 13889522728183. The next prime is 13889522728243. The reversal of 13889522728225 is 52282722598831.

The square root of 13889522728225 is 3726865.

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., 5000228182161 + 8889294546064 = 2236119^2 + 2981492^2 .

It is not a de Polignac number, because 13889522728225 - 2⁷ = 13889522728097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 875805346 + ... + 875821204.

Almost surely, 2^{13889522728225} is an apocalyptic number.

13889522728225 is the 3726865-th square number.

13889522728225 is the 1863433-rd centered octagonal number.

It is an amenable number.

13889522728225 is a deficient number, since it is larger than the sum of its proper divisors (3708838858322).

13889522728225 is an frugal number, since it uses more digits than its factorization.

13889522728225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822 (or 15911 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

Multiplying 13889522728225 by its sum of digits (64), we get a square (888929454606400 = 29814920²).

The spelling of 13889522728225 in words is "thirteen trillion, eight hundred eighty-nine billion, five hundred twenty-two million, seven hundred twenty-eight thousand, two hundred twenty-five".