13209263147025 has 81 divisors (see below), whose sum is σ = 26006811364443. Its totient is φ = 6404200466400.

The previous prime is 13209263146999. The next prime is 13209263147039. The reversal of 13209263147025 is 52074136290231.

It is a happy number.

The square root of 13209263147025 is 3634455.

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

13209263147025 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 9 + 2 + 631 + 4 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4755334732929 + 8453928414096 = 2180673^2 + 2907564^2 .

It is not a de Polignac number, because 13209263147025 - 2⁴¹ = 11010239891473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 599674062 + ... + 599696088.

Almost surely, 2^{13209263147025} is an apocalyptic number.

13209263147025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13209263147025 is the 3634455-th square number.

13209263147025 is the 1817228-th centered octagonal number.

It is an amenable number.

13209263147025 is a deficient number, since it is larger than the sum of its proper divisors (12797548217418).

13209263147025 is an frugal number, since it uses more digits than its factorization.

13209263147025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44092 (or 22046 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13209263147025 in words is "thirteen trillion, two hundred nine billion, two hundred sixty-three million, one hundred forty-seven thousand, twenty-five".