419561617 has 2 divisors, whose sum is σ = 419561618. Its totient is φ = 419561616.

The previous prime is 419561579. The next prime is 419561641. The reversal of 419561617 is 716165914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348344896 + 71216721 = 18664^2 + 8439^2 .

It is a cyclic number.

It is not a de Polignac number, because 419561617 - 2¹⁹ = 419037329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 419561617.

It is not a weakly prime, because it can be changed into another prime (419561677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209780808 + 209780809.

It is an arithmetic number, because the mean of its divisors is an integer number (209780809).

Almost surely, 2^419561617 is an apocalyptic number.

It is an amenable number.

419561617 is a deficient number, since it is larger than the sum of its proper divisors (1).

419561617 is an equidigital number, since it uses as much as digits as its factorization.

419561617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 40.

The square root of 419561617 is about 20483.2032895248. The cubic root of 419561617 is about 748.6265929095.

The spelling of 419561617 in words is "four hundred nineteen million, five hundred sixty-one thousand, six hundred seventeen".