13259752801 has 3 divisors (see below), whose sum is σ = 13259867953. Its totient is φ = 13259637650.

The previous prime is 13259752763. The next prime is 13259752873. The reversal of 13259752801 is 10825795231.

It is a happy number.

The square root of 13259752801 is 115151.

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

13259752801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10825795231 = 31 ⋅349219201.

It is not a de Polignac number, because 13259752801 - 2¹¹ = 13259750753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13259752201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57576 + ... + 172726.

Almost surely, 2^13259752801 is an apocalyptic number.

13259752801 is the 115151-st square number.

13259752801 is the 57576-th centered octagonal number.

It is an amenable number.

13259752801 is a deficient number, since it is larger than the sum of its proper divisors (115152).

13259752801 is an frugal number, since it uses more digits than its factorization.

13259752801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230302 (or 115151 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 13259752801 in words is "thirteen billion, two hundred fifty-nine million, seven hundred fifty-two thousand, eight hundred one".