66126264112301 has 2 divisors, whose sum is σ = 66126264112302. Its totient is φ = 66126264112300.

The previous prime is 66126264112297. The next prime is 66126264112339. The reversal of 66126264112301 is 10321146262166.

66126264112301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55343407669225 + 10782856443076 = 7439315^2 + 3283726^2 .

It is a cyclic number.

It is not a de Polignac number, because 66126264112301 - 2² = 66126264112297 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66126264112001) 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, 33063132056150 + 33063132056151.

It is an arithmetic number, because the mean of its divisors is an integer number (33063132056151).

Almost surely, 2^{66126264112301} is an apocalyptic number.

It is an amenable number.

66126264112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

66126264112301 is an equidigital number, since it uses as much as digits as its factorization.

66126264112301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 66126264112301 in words is "sixty-six trillion, one hundred twenty-six billion, two hundred sixty-four million, one hundred twelve thousand, three hundred one".