413242993 has 2 divisors, whose sum is σ = 413242994. Its totient is φ = 413242992.

The previous prime is 413242981. The next prime is 413243041. The reversal of 413242993 is 399242314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389154529 + 24088464 = 19727^2 + 4908^2 .

It is a cyclic number.

It is not a de Polignac number, because 413242993 - 2⁹ = 413242481 is a prime.

It is not a weakly prime, because it can be changed into another prime (413242393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206621496 + 206621497.

It is an arithmetic number, because the mean of its divisors is an integer number (206621497).

Almost surely, 2^413242993 is an apocalyptic number.

It is an amenable number.

413242993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413242993 is an equidigital number, since it uses as much as digits as its factorization.

413242993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 37.

The square root of 413242993 is about 20328.3790057151. The cubic root of 413242993 is about 744.8494466280.

The spelling of 413242993 in words is "four hundred thirteen million, two hundred forty-two thousand, nine hundred ninety-three".