416516306813 has 2 divisors, whose sum is σ = 416516306814. Its totient is φ = 416516306812.

The previous prime is 416516306803. The next prime is 416516306819. The reversal of 416516306813 is 318603615614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382292416804 + 34223890009 = 618298^2 + 184997^2 .

It is a cyclic number.

It is not a de Polignac number, because 416516306813 - 2⁶ = 416516306749 is a prime.

It is a super-2 number, since 2×416516306813² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416516306819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208258153406 + 208258153407.

It is an arithmetic number, because the mean of its divisors is an integer number (208258153407).

Almost surely, 2^416516306813 is an apocalyptic number.

It is an amenable number.

416516306813 is a deficient number, since it is larger than the sum of its proper divisors (1).

416516306813 is an equidigital number, since it uses as much as digits as its factorization.

416516306813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 416516306813 in words is "four hundred sixteen billion, five hundred sixteen million, three hundred six thousand, eight hundred thirteen".