1304513221 has 12 divisors (see below), whose sum is σ = 1460948076. Its totient is φ = 1163539520.

The previous prime is 1304513213. The next prime is 1304513227. The reversal of 1304513221 is 1223154031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1199860321 + 104652900 = 34639^2 + 10230^2 .

It is not a de Polignac number, because 1304513221 - 2³ = 1304513213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304513192 and 1304513201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304513227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95296 + ... + 108121.

It is an arithmetic number, because the mean of its divisors is an integer number (121745673).

Almost surely, 2^1304513221 is an apocalyptic number.

1304513221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1304513221 is a deficient number, since it is larger than the sum of its proper divisors (156434855).

1304513221 is a wasteful number, since it uses less digits than its factorization.

1304513221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203492 (or 203481 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1304513221 is about 36118.0456420333. The cubic root of 1304513221 is about 1092.6544235875.

Adding to 1304513221 its reverse (1223154031), we get a palindrome (2527667252).

The spelling of 1304513221 in words is "one billion, three hundred four million, five hundred thirteen thousand, two hundred twenty-one".