405779508317 has 2 divisors, whose sum is σ = 405779508318. Its totient is φ = 405779508316.

The previous prime is 405779508241. The next prime is 405779508319. The reversal of 405779508317 is 713805977504.

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., 393052509721 + 12726998596 = 626939^2 + 112814^2 .

It is a cyclic number.

It is not a de Polignac number, because 405779508317 - 2¹⁴ = 405779491933 is a prime.

Together with 405779508319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405779508319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202889754158 + 202889754159.

It is an arithmetic number, because the mean of its divisors is an integer number (202889754159).

Almost surely, 2^405779508317 is an apocalyptic number.

It is an amenable number.

405779508317 is a deficient number, since it is larger than the sum of its proper divisors (1).

405779508317 is an equidigital number, since it uses as much as digits as its factorization.

405779508317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 405779508317 in words is "four hundred five billion, seven hundred seventy-nine million, five hundred eight thousand, three hundred seventeen".