53233644307321 has 81 divisors (see below), whose sum is σ = 57987550258183. Its totient is φ = 48866620566400.

The previous prime is 53233644307303. The next prime is 53233644307457. The reversal of 53233644307321 is 12370344633235.

The square root of 53233644307321 is 7296139.

It is a perfect power (a square), and thus also a powerful number.

53233644307321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 154201509225 + 53079442798096 = 392685^2 + 7285564^2 .

It is not a de Polignac number, because 53233644307321 - 2³⁵ = 53199284568953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53233644305321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 527065785171 + ... + 527065785271.

Almost surely, 2^{53233644307321} is an apocalyptic number.

53233644307321 is the 7296139-th square number.

53233644307321 is the 3648070-th centered octagonal number.

It is an amenable number.

53233644307321 is a deficient number, since it is larger than the sum of its proper divisors (4753905950862).

53233644307321 is an frugal number, since it uses more digits than its factorization.

53233644307321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 46.

The spelling of 53233644307321 in words is "fifty-three trillion, two hundred thirty-three billion, six hundred forty-four million, three hundred seven thousand, three hundred twenty-one".