63305164411729 has 2 divisors, whose sum is σ = 63305164411730. Its totient is φ = 63305164411728.

The previous prime is 63305164411703. The next prime is 63305164411751. The reversal of 63305164411729 is 92711446150336.

63305164411729 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., 56321047420225 + 6984116991504 = 7504735^2 + 2642748^2 .

It is a cyclic number.

It is not a de Polignac number, because 63305164411729 - 2⁹ = 63305164411217 is a prime.

It is not a weakly prime, because it can be changed into another prime (63305161411729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31652582205864 + 31652582205865.

It is an arithmetic number, because the mean of its divisors is an integer number (31652582205865).

Almost surely, 2^{63305164411729} is an apocalyptic number.

It is an amenable number.

63305164411729 is a deficient number, since it is larger than the sum of its proper divisors (1).

63305164411729 is an equidigital number, since it uses as much as digits as its factorization.

63305164411729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 63305164411729 in words is "sixty-three trillion, three hundred five billion, one hundred sixty-four million, four hundred eleven thousand, seven hundred twenty-nine".