13507793337025 has 27 divisors (see below), whose sum is σ = 18137530620489. Its totient is φ = 9974809434720.

The previous prime is 13507793337023. The next prime is 13507793337053. The reversal of 13507793337025 is 52073339770531.

It is a happy number.

The square root of 13507793337025 is 3675295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3481653714561 + 10026139622464 = 1865919^2 + 3166408^2 .

It is not a de Polignac number, because 13507793337025 - 2¹ = 13507793337023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13507793337023) by changing a digit.

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, 238865904 + ... + 238922446.

Almost surely, 2^{13507793337025} is an apocalyptic number.

13507793337025 is the 3675295-th square number.

13507793337025 is the 1837648-th centered octagonal number.

It is an amenable number.

13507793337025 is a deficient number, since it is larger than the sum of its proper divisors (4629737283464).

13507793337025 is an frugal number, since it uses more digits than its factorization.

13507793337025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113122 (or 56561 counting only the distinct ones).

The product of its (nonzero) digits is 12502350, while the sum is 55.

The spelling of 13507793337025 in words is "thirteen trillion, five hundred seven billion, seven hundred ninety-three million, three hundred thirty-seven thousand, twenty-five".