1304540505353 has 16 divisors (see below), whose sum is σ = 1364267850000. Its totient is φ = 1245836132352.

The previous prime is 1304540505299. The next prime is 1304540505377. The reversal of 1304540505353 is 3535050454031.

It can be written as a sum of positive squares in 8 ways, for example, as 428019509824 + 876520995529 = 654232^2 + 936227^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304540505353 - 2¹⁴ = 1304540488969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304540585353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466273 + ... + 2181521.

It is an arithmetic number, because the mean of its divisors is an integer number (85266740625).

Almost surely, 2^{1304540505353} is an apocalyptic number.

It is an amenable number.

1304540505353 is a deficient number, since it is larger than the sum of its proper divisors (59727344647).

1304540505353 is a wasteful number, since it uses less digits than its factorization.

1304540505353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715964.

The product of its (nonzero) digits is 270000, while the sum is 38.

Adding to 1304540505353 its reverse (3535050454031), we get a palindrome (4839590959384).

The spelling of 1304540505353 in words is "one trillion, three hundred four billion, five hundred forty million, five hundred five thousand, three hundred fifty-three".