413005003 has 2 divisors, whose sum is σ = 413005004. Its totient is φ = 413005002.

The previous prime is 413004973. The next prime is 413005031. The reversal of 413005003 is 300500314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413005003 - 2¹⁷ = 412873931 is a prime.

It is not a weakly prime, because it can be changed into another prime (413005903) 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, 206502501 + 206502502.

It is an arithmetic number, because the mean of its divisors is an integer number (206502502).

Almost surely, 2^413005003 is an apocalyptic number.

413005003 is a deficient number, since it is larger than the sum of its proper divisors (1).

413005003 is an equidigital number, since it uses as much as digits as its factorization.

413005003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 413005003 is about 20322.5245232968. The cubic root of 413005003 is about 744.7064308855.

Adding to 413005003 its reverse (300500314), we get a palindrome (713505317).

The spelling of 413005003 in words is "four hundred thirteen million, five thousand, three".