417485955217 has 2 divisors, whose sum is σ = 417485955218. Its totient is φ = 417485955216.

The previous prime is 417485955197. The next prime is 417485955251. The reversal of 417485955217 is 712559584714.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416949152656 + 536802561 = 645716^2 + 23169^2 .

It is a cyclic number.

It is not a de Polignac number, because 417485955217 - 2²⁷ = 417351737489 is a prime.

It is not a weakly prime, because it can be changed into another prime (417485955277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208742977608 + 208742977609.

It is an arithmetic number, because the mean of its divisors is an integer number (208742977609).

Almost surely, 2^417485955217 is an apocalyptic number.

It is an amenable number.

417485955217 is a deficient number, since it is larger than the sum of its proper divisors (1).

417485955217 is an equidigital number, since it uses as much as digits as its factorization.

417485955217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112000, while the sum is 58.

The spelling of 417485955217 in words is "four hundred seventeen billion, four hundred eighty-five million, nine hundred fifty-five thousand, two hundred seventeen".