12765714953 has 18 divisors (see below), whose sum is σ = 13755021966. Its totient is φ = 11806527744.

The previous prime is 12765714901. The next prime is 12765715019. The reversal of 12765714953 is 35941756721.

12765714953 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 3 ways, for example, as 9360175504 + 3405539449 = 96748^2 + 58357^2 .

It is not a de Polignac number, because 12765714953 - 2²² = 12761520649 is a prime.

It is a super-2 number, since 2×12765714953² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12765704953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31211813 + ... + 31212221.

It is an arithmetic number, because the mean of its divisors is an integer number (764167887).

Almost surely, 2^12765714953 is an apocalyptic number.

It is an amenable number.

12765714953 is a deficient number, since it is larger than the sum of its proper divisors (989307013).

12765714953 is an frugal number, since it uses more digits than its factorization.

12765714953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 493 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The spelling of 12765714953 in words is "twelve billion, seven hundred sixty-five million, seven hundred fourteen thousand, nine hundred fifty-three".