8410414803313 has 2 divisors, whose sum is σ = 8410414803314. Its totient is φ = 8410414803312.

The previous prime is 8410414803247. The next prime is 8410414803353. The reversal of 8410414803313 is 3133084140148.

It is an a-pointer prime, because the next prime (8410414803353) can be obtained adding 8410414803313 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5880683200144 + 2529731603169 = 2425012^2 + 1590513^2 .

It is a cyclic number.

It is not a de Polignac number, because 8410414803313 - 2¹⁷ = 8410414672241 is a prime.

It is not a weakly prime, because it can be changed into another prime (8410414803353) 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, 4205207401656 + 4205207401657.

It is an arithmetic number, because the mean of its divisors is an integer number (4205207401657).

Almost surely, 2^{8410414803313} is an apocalyptic number.

It is an amenable number.

8410414803313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8410414803313 is an equidigital number, since it uses as much as digits as its factorization.

8410414803313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 8410414803313 in words is "eight trillion, four hundred ten billion, four hundred fourteen million, eight hundred three thousand, three hundred thirteen".