444133313 has 16 divisors (see below), whose sum is σ = 510163920. Its totient is φ = 383010816.

The previous prime is 444133273. The next prime is 444133321. The reversal of 444133313 is 313331444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2166784 + 441966529 = 1472^2 + 21023^2 .

It is not a de Polignac number, because 444133313 - 2¹⁴ = 444116929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444133343) 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 in 15 ways as a sum of consecutive naturals, for example, 22943 + ... + 37611.

It is an arithmetic number, because the mean of its divisors is an integer number (31885245).

Almost surely, 2^444133313 is an apocalyptic number.

It is an amenable number.

444133313 is a deficient number, since it is larger than the sum of its proper divisors (66030607).

444133313 is a wasteful number, since it uses less digits than its factorization.

444133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836.

The product of its digits is 5184, while the sum is 26.

The square root of 444133313 is about 21074.4706457837. The cubic root of 444133313 is about 762.9647085005.

Adding to 444133313 its reverse (313331444), we get a palindrome (757464757).

The spelling of 444133313 in words is "four hundred forty-four million, one hundred thirty-three thousand, three hundred thirteen".