13253505214349 has 2 divisors, whose sum is σ = 13253505214350. Its totient is φ = 13253505214348.

The previous prime is 13253505214297. The next prime is 13253505214363. The reversal of 13253505214349 is 94341250535231.

13253505214349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12764649745225 + 488855469124 = 3572765^2 + 699182^2 .

It is a cyclic number.

It is not a de Polignac number, because 13253505214349 - 2²⁸ = 13253236778893 is a prime.

It is a super-2 number, since 2×13253505214349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13253505214049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6626752607174 + 6626752607175.

It is an arithmetic number, because the mean of its divisors is an integer number (6626752607175).

Almost surely, 2^{13253505214349} is an apocalyptic number.

It is an amenable number.

13253505214349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13253505214349 is an equidigital number, since it uses as much as digits as its factorization.

13253505214349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 13253505214349 in words is "thirteen trillion, two hundred fifty-three billion, five hundred five million, two hundred fourteen thousand, three hundred forty-nine".