422401013 has 2 divisors, whose sum is σ = 422401014. Its totient is φ = 422401012.

The previous prime is 422400977. The next prime is 422401019. The reversal of 422401013 is 310104224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406344964 + 16056049 = 20158^2 + 4007^2 .

It is a cyclic number.

It is not a de Polignac number, because 422401013 - 2⁸ = 422400757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 422400982 and 422401000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (422401019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 211200506 + 211200507.

It is an arithmetic number, because the mean of its divisors is an integer number (211200507).

Almost surely, 2^422401013 is an apocalyptic number.

It is an amenable number.

422401013 is a deficient number, since it is larger than the sum of its proper divisors (1).

422401013 is an equidigital number, since it uses as much as digits as its factorization.

422401013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 422401013 is about 20552.3967702066. The cubic root of 422401013 is about 750.3115819451.

Adding to 422401013 its reverse (310104224), we get a palindrome (732505237).

The spelling of 422401013 in words is "four hundred twenty-two million, four hundred one thousand, thirteen".