413033040221 has 2 divisors, whose sum is σ = 413033040222. Its totient is φ = 413033040220.

The previous prime is 413033040193. The next prime is 413033040289. The reversal of 413033040221 is 122040330314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325898265625 + 87134774596 = 570875^2 + 295186^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033040221 - 2⁶ = 413033040157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033045221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516520110 + 206516520111.

It is an arithmetic number, because the mean of its divisors is an integer number (206516520111).

Almost surely, 2^413033040221 is an apocalyptic number.

It is an amenable number.

413033040221 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033040221 is an equidigital number, since it uses as much as digits as its factorization.

413033040221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 413033040221 its reverse (122040330314), we get a palindrome (535073370535).

The spelling of 413033040221 in words is "four hundred thirteen billion, thirty-three million, forty thousand, two hundred twenty-one".