405220442414213 has 2 divisors, whose sum is σ = 405220442414214. Its totient is φ = 405220442414212.

The previous prime is 405220442414089. The next prime is 405220442414233. The reversal of 405220442414213 is 312414244022504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278204319173764 + 127016123240449 = 16679458^2 + 11270143^2 .

It is a cyclic number.

It is not a de Polignac number, because 405220442414213 - 2²⁴ = 405220425636997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405220442414233) 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, 202610221207106 + 202610221207107.

It is an arithmetic number, because the mean of its divisors is an integer number (202610221207107).

Almost surely, 2^{405220442414213} is an apocalyptic number.

It is an amenable number.

405220442414213 is a deficient number, since it is larger than the sum of its proper divisors (1).

405220442414213 is an equidigital number, since it uses as much as digits as its factorization.

405220442414213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 405220442414213 its reverse (312414244022504), we get a palindrome (717634686436717).

The spelling of 405220442414213 in words is "four hundred five trillion, two hundred twenty billion, four hundred forty-two million, four hundred fourteen thousand, two hundred thirteen".