13125302225253 has 20 divisors (see below), whose sum is σ = 20283034093740. Its totient is φ = 8448470396352.

The previous prime is 13125302225183. The next prime is 13125302225257. The reversal of 13125302225253 is 35252220352131.

13125302225253 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 530 + 2 + 22 + 52 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7920183175524 + 5205119049729 = 2814282^2 + 2281473^2 .

It is not a de Polignac number, because 13125302225253 - 2²⁰ = 13125301176677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125302225257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2793804000 + ... + 2793808697.

It is an arithmetic number, because the mean of its divisors is an integer number (1014151704687).

Almost surely, 2^{13125302225253} is an apocalyptic number.

It is an amenable number.

13125302225253 is a deficient number, since it is larger than the sum of its proper divisors (7157731868487).

13125302225253 is an equidigital number, since it uses as much as digits as its factorization.

13125302225253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587612738 (or 5587612729 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 13125302225253 its reverse (35252220352131), we get a palindrome (48377522577384).

The spelling of 13125302225253 in words is "thirteen trillion, one hundred twenty-five billion, three hundred two million, two hundred twenty-five thousand, two hundred fifty-three".