13126211516225 has 12 divisors (see below), whose sum is σ = 16296136204860. Its totient is φ = 10488302164800.

The previous prime is 13126211516149. The next prime is 13126211516329. The reversal of 13126211516225 is 52261511262131.

It can be written as a sum of positive squares in 6 ways, for example, as 1020940493056 + 12105271023169 = 1010416^2 + 3479263^2 .

It is not a de Polignac number, because 13126211516225 - 2²⁰ = 13126210467649 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316655066 + ... + 316696515.

It is an arithmetic number, because the mean of its divisors is an integer number (1358011350405).

Almost surely, 2^{13126211516225} is an apocalyptic number.

It is an amenable number.

13126211516225 is a deficient number, since it is larger than the sum of its proper divisors (3169924688635).

13126211516225 is an equidigital number, since it uses as much as digits as its factorization.

13126211516225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633352420 (or 633352415 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

Adding to 13126211516225 its reverse (52261511262131), we get a palindrome (65387722778356).

The spelling of 13126211516225 in words is "thirteen trillion, one hundred twenty-six billion, two hundred eleven million, five hundred sixteen thousand, two hundred twenty-five".