66105001673 has 2 divisors, whose sum is σ = 66105001674. Its totient is φ = 66105001672.

The previous prime is 66105001637. The next prime is 66105001691. The reversal of 66105001673 is 37610050166.

It is a happy number.

Together with previous prime (66105001637) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56695419664 + 9409582009 = 238108^2 + 97003^2 .

It is a cyclic number.

It is not a de Polignac number, because 66105001673 - 2³⁴ = 48925132489 is a prime.

It is not a weakly prime, because it can be changed into another prime (66105006673) 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, 33052500836 + 33052500837.

It is an arithmetic number, because the mean of its divisors is an integer number (33052500837).

Almost surely, 2^66105001673 is an apocalyptic number.

It is an amenable number.

66105001673 is a deficient number, since it is larger than the sum of its proper divisors (1).

66105001673 is an equidigital number, since it uses as much as digits as its factorization.

66105001673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 66105001673 in words is "sixty-six billion, one hundred five million, one thousand, six hundred seventy-three".