12820438753 has 8 divisors (see below), whose sum is σ = 12846443400. Its totient is φ = 12794462208.

The previous prime is 12820438751. The next prime is 12820438781. The reversal of 12820438753 is 35783402821.

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 12815824849 = 2148^2 + 113207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12820438753 - 2¹ = 12820438751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12820438751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065153 + ... + 1077121.

It is an arithmetic number, because the mean of its divisors is an integer number (1605805425).

Almost surely, 2^12820438753 is an apocalyptic number.

It is an amenable number.

12820438753 is a deficient number, since it is larger than the sum of its proper divisors (26004647).

12820438753 is a wasteful number, since it uses less digits than its factorization.

12820438753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 12820438753 in words is "twelve billion, eight hundred twenty million, four hundred thirty-eight thousand, seven hundred fifty-three".