6738305112529 has 2 divisors, whose sum is σ = 6738305112530. Its totient is φ = 6738305112528.

The previous prime is 6738305112527. The next prime is 6738305112607. The reversal of 6738305112529 is 9252115038376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6679123360000 + 59181752529 = 2584400^2 + 243273^2 .

It is a cyclic number.

It is not a de Polignac number, because 6738305112529 - 2¹ = 6738305112527 is a prime.

Together with 6738305112527, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (6738305112527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3369152556264 + 3369152556265.

It is an arithmetic number, because the mean of its divisors is an integer number (3369152556265).

Almost surely, 2^{6738305112529} is an apocalyptic number.

It is an amenable number.

6738305112529 is a deficient number, since it is larger than the sum of its proper divisors (1).

6738305112529 is an equidigital number, since it uses as much as digits as its factorization.

6738305112529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 6738305112529 in words is "six trillion, seven hundred thirty-eight billion, three hundred five million, one hundred twelve thousand, five hundred twenty-nine".