413003213 has 20 divisors (see below), whose sum is σ = 494936700. Its totient is φ = 344361024.

The previous prime is 413003197. The next prime is 413003257. The reversal of 413003213 is 312300314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389944009 + 23059204 = 19747^2 + 4802^2 .

It is not a de Polignac number, because 413003213 - 2⁴ = 413003197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413003191 and 413003200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413005213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86513 + ... + 91161.

It is an arithmetic number, because the mean of its divisors is an integer number (24746835).

Almost surely, 2^413003213 is an apocalyptic number.

It is an amenable number.

413003213 is a deficient number, since it is larger than the sum of its proper divisors (81933487).

413003213 is an frugal number, since it uses more digits than its factorization.

413003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413003213 is about 20322.4804834449. The cubic root of 413003213 is about 744.7053550096.

Adding to 413003213 its reverse (312300314), we get a palindrome (725303527).

The spelling of 413003213 in words is "four hundred thirteen million, three thousand, two hundred thirteen".