408066012507017 has 2 divisors, whose sum is σ = 408066012507018. Its totient is φ = 408066012507016.

The previous prime is 408066012506993. The next prime is 408066012507047. The reversal of 408066012507017 is 710705210660804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367503431003641 + 40562581503376 = 19170379^2 + 6368876^2 .

It is a cyclic number.

It is not a de Polignac number, because 408066012507017 - 2¹² = 408066012502921 is a prime.

It is not a weakly prime, because it can be changed into another prime (408066012507047) 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, 204033006253508 + 204033006253509.

It is an arithmetic number, because the mean of its divisors is an integer number (204033006253509).

Almost surely, 2^{408066012507017} is an apocalyptic number.

It is an amenable number.

408066012507017 is a deficient number, since it is larger than the sum of its proper divisors (1).

408066012507017 is an equidigital number, since it uses as much as digits as its factorization.

408066012507017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 408066012507017 in words is "four hundred eight trillion, sixty-six billion, twelve million, five hundred seven thousand, seventeen".