13825312929781 has 2 divisors, whose sum is σ = 13825312929782. Its totient is φ = 13825312929780.

The previous prime is 13825312929721. The next prime is 13825312929829. The reversal of 13825312929781 is 18792921352831.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9305611260100 + 4519701669681 = 3050510^2 + 2125959^2 .

It is a cyclic number.

It is not a de Polignac number, because 13825312929781 - 2⁷ = 13825312929653 is a prime.

It is a super-2 number, since 2×13825312929781² (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 (13825312929721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912656464890 + 6912656464891.

It is an arithmetic number, because the mean of its divisors is an integer number (6912656464891).

Almost surely, 2^{13825312929781} is an apocalyptic number.

It is an amenable number.

13825312929781 is a deficient number, since it is larger than the sum of its proper divisors (1).

13825312929781 is an equidigital number, since it uses as much as digits as its factorization.

13825312929781 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13063680, while the sum is 61.

The spelling of 13825312929781 in words is "thirteen trillion, eight hundred twenty-five billion, three hundred twelve million, nine hundred twenty-nine thousand, seven hundred eighty-one".