12593818195729 has 9 divisors (see below), whose sum is σ = 12611234786313. Its totient is φ = 12576425639652.

The previous prime is 12593818195633. The next prime is 12593818195823. The reversal of 12593818195729 is 92759181839521.

It is a happy number.

The square root of 12593818195729 is 3548777.

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

12593818195729 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 12593818195729 - 2¹⁹ = 12593817671441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12593818195129) 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, 3133568082 + ... + 3133572100.

Almost surely, 2^{12593818195729} is an apocalyptic number.

12593818195729 is the 3548777-th square number.

12593818195729 is the 1774389-th centered octagonal number.

It is an amenable number.

12593818195729 is a deficient number, since it is larger than the sum of its proper divisors (17416590584).

12593818195729 is an frugal number, since it uses more digits than its factorization.

12593818195729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804 (or 4902 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 70.

The spelling of 12593818195729 in words is "twelve trillion, five hundred ninety-three billion, eight hundred eighteen million, one hundred ninety-five thousand, seven hundred twenty-nine".