385843682400013 has 2 divisors, whose sum is σ = 385843682400014. Its totient is φ = 385843682400012.

The previous prime is 385843682399999. The next prime is 385843682400019. The reversal of 385843682400013 is 310004286348583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234383944017609 + 151459738382404 = 15309603^2 + 12306898^2 .

It is a cyclic number.

It is not a de Polignac number, because 385843682400013 - 2⁹ = 385843682399501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385843682400019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192921841200006 + 192921841200007.

It is an arithmetic number, because the mean of its divisors is an integer number (192921841200007).

Almost surely, 2^{385843682400013} is an apocalyptic number.

It is an amenable number.

385843682400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

385843682400013 is an equidigital number, since it uses as much as digits as its factorization.

385843682400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 385843682400013 in words is "three hundred eighty-five trillion, eight hundred forty-three billion, six hundred eighty-two million, four hundred thousand, thirteen".