13812595729 has 9 divisors (see below), whose sum is σ = 13903329531. Its totient is φ = 13722452520.

The previous prime is 13812595711. The next prime is 13812595781. The reversal of 13812595729 is 92759521831.

The square root of 13812595729 is 117527.

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., 1212084225 + 12600511504 = 34815^2 + 112252^2 .

It is not a de Polignac number, because 13812595729 - 2²¹ = 13810498577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13812596729) 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, 24797919 + ... + 24798475.

Almost surely, 2^13812595729 is an apocalyptic number.

13812595729 is the 117527-th square number.

13812595729 is the 58764-th centered octagonal number.

It is an amenable number.

13812595729 is a deficient number, since it is larger than the sum of its proper divisors (90733802).

13812595729 is an frugal number, since it uses more digits than its factorization.

13812595729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 768 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The spelling of 13812595729 in words is "thirteen billion, eight hundred twelve million, five hundred ninety-five thousand, seven hundred twenty-nine".