66125430306361 has 2 divisors, whose sum is σ = 66125430306362. Its totient is φ = 66125430306360.

The previous prime is 66125430306359. The next prime is 66125430306389. The reversal of 66125430306361 is 16360303452166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59733731137600 + 6391699168761 = 7728760^2 + 2528181^2 .

It is a cyclic number.

It is not a de Polignac number, because 66125430306361 - 2¹ = 66125430306359 is a prime.

Together with 66125430306359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (66125430306301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33062715153180 + 33062715153181.

It is an arithmetic number, because the mean of its divisors is an integer number (33062715153181).

Almost surely, 2^{66125430306361} is an apocalyptic number.

It is an amenable number.

66125430306361 is a deficient number, since it is larger than the sum of its proper divisors (1).

66125430306361 is an equidigital number, since it uses as much as digits as its factorization.

66125430306361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1399680, while the sum is 46.

The spelling of 66125430306361 in words is "sixty-six trillion, one hundred twenty-five billion, four hundred thirty million, three hundred six thousand, three hundred sixty-one".