417515220013 has 2 divisors, whose sum is σ = 417515220014. Its totient is φ = 417515220012.

The previous prime is 417515219999. The next prime is 417515220061. The reversal of 417515220013 is 310022515714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243248212804 + 174267007209 = 493202^2 + 417453^2 .

It is a cyclic number.

It is not a de Polignac number, because 417515220013 - 2⁵ = 417515219981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417515224013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208757610006 + 208757610007.

It is an arithmetic number, because the mean of its divisors is an integer number (208757610007).

Almost surely, 2^417515220013 is an apocalyptic number.

It is an amenable number.

417515220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

417515220013 is an equidigital number, since it uses as much as digits as its factorization.

417515220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 417515220013 its reverse (310022515714), we get a palindrome (727537735727).

The spelling of 417515220013 in words is "four hundred seventeen billion, five hundred fifteen million, two hundred twenty thousand, thirteen".