405505041313213 has 2 divisors, whose sum is σ = 405505041313214. Its totient is φ = 405505041313212.

The previous prime is 405505041313181. The next prime is 405505041313231. The reversal of 405505041313213 is 312313140505504.

Together with next prime (405505041313231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393439998843684 + 12065042469529 = 19835322^2 + 3473477^2 .

It is a cyclic number.

It is not a de Polignac number, because 405505041313213 - 2⁵ = 405505041313181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405505041313283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202752520656606 + 202752520656607.

It is an arithmetic number, because the mean of its divisors is an integer number (202752520656607).

Almost surely, 2^{405505041313213} is an apocalyptic number.

It is an amenable number.

405505041313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

405505041313213 is an equidigital number, since it uses as much as digits as its factorization.

405505041313213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 405505041313213 its reverse (312313140505504), we get a palindrome (717818181818717).

The spelling of 405505041313213 in words is "four hundred five trillion, five hundred five billion, forty-one million, three hundred thirteen thousand, two hundred thirteen".