13825013887513 has 2 divisors, whose sum is σ = 13825013887514. Its totient is φ = 13825013887512.

The previous prime is 13825013887481. The next prime is 13825013887541. The reversal of 13825013887513 is 31578831052831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12631221645849 + 1193792241664 = 3554043^2 + 1092608^2 .

It is a cyclic number.

It is not a de Polignac number, because 13825013887513 - 2⁵ = 13825013887481 is a prime.

It is a super-2 number, since 2×13825013887513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13825013887213) 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 as a sum of consecutive naturals, namely, 6912506943756 + 6912506943757.

It is an arithmetic number, because the mean of its divisors is an integer number (6912506943757).

Almost surely, 2^{13825013887513} is an apocalyptic number.

It is an amenable number.

13825013887513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13825013887513 is an equidigital number, since it uses as much as digits as its factorization.

13825013887513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 13825013887513 in words is "thirteen trillion, eight hundred twenty-five billion, thirteen million, eight hundred eighty-seven thousand, five hundred thirteen".