8413221411017 has 2 divisors, whose sum is σ = 8413221411018. Its totient is φ = 8413221411016.

The previous prime is 8413221410959. The next prime is 8413221411037. The reversal of 8413221411017 is 7101141223148.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8383132692496 + 30088718521 = 2895364^2 + 173461^2 .

It is a cyclic number.

It is not a de Polignac number, because 8413221411017 - 2¹⁰ = 8413221409993 is a prime.

It is not a weakly prime, because it can be changed into another prime (8413221411037) 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, 4206610705508 + 4206610705509.

It is an arithmetic number, because the mean of its divisors is an integer number (4206610705509).

Almost surely, 2^{8413221411017} is an apocalyptic number.

It is an amenable number.

8413221411017 is a deficient number, since it is larger than the sum of its proper divisors (1).

8413221411017 is an equidigital number, since it uses as much as digits as its factorization.

8413221411017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 8413221411017 in words is "eight trillion, four hundred thirteen billion, two hundred twenty-one million, four hundred eleven thousand, seventeen".