410221013 has 2 divisors, whose sum is σ = 410221014. Its totient is φ = 410221012.

The previous prime is 410221003. The next prime is 410221069. The reversal of 410221013 is 310122014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373339684 + 36881329 = 19322^2 + 6073^2 .

It is a cyclic number.

It is not a de Polignac number, because 410221013 - 2⁴ = 410220997 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (410221003) 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, 205110506 + 205110507.

It is an arithmetic number, because the mean of its divisors is an integer number (205110507).

Almost surely, 2^410221013 is an apocalyptic number.

It is an amenable number.

410221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

410221013 is an equidigital number, since it uses as much as digits as its factorization.

410221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 410221013 is about 20253.9135230701. The cubic root of 410221013 is about 743.0293476848.

Adding to 410221013 its reverse (310122014), we get a palindrome (720343027).

It can be divided in two parts, 41022 and 1013, that multiplied together give a triangular number (41555286 = T₉₁₁₆).

The spelling of 410221013 in words is "four hundred ten million, two hundred twenty-one thousand, thirteen".