1304353444221 has 18 divisors (see below), whose sum is σ = 1956430774142. Its totient is φ = 869568958440.

The previous prime is 1304353444211. The next prime is 1304353444223. The reversal of 1304353444221 is 1224443534031.

1304353444221 is a `hidden beast` number, since 1 + 304 + 3 + 5 + 344 + 4 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1109832752196 + 194520692025 = 1053486^2 + 441045^2 .

It is not a de Polignac number, because 1304353444221 - 2⁶ = 1304353444157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304353444223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99395470 + ... + 99408591.

Almost surely, 2^{1304353444221} is an apocalyptic number.

It is an amenable number.

1304353444221 is a deficient number, since it is larger than the sum of its proper divisors (652077329921).

1304353444221 is an frugal number, since it uses more digits than its factorization.

1304353444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198804085 (or 198804064 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1304353444221 its reverse (1224443534031), we get a palindrome (2528796978252).

The spelling of 1304353444221 in words is "one trillion, three hundred four billion, three hundred fifty-three million, four hundred forty-four thousand, two hundred twenty-one".