12735300003325 has 48 divisors (see below), whose sum is σ = 15916079569104. Its totient is φ = 10108436889600.

The previous prime is 12735300003323. The next prime is 12735300003427. The reversal of 12735300003325 is 52330000353721.

It can be written as a sum of positive squares in 24 ways, for example, as 1793084361721 + 10942215641604 = 1339061^2 + 3307902^2 .

It is not a de Polignac number, because 12735300003325 - 2¹ = 12735300003323 is a prime.

It is a super-3 number, since 3×12735300003325³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735300003323) 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 47 ways as a sum of consecutive naturals, for example, 2028880087 + ... + 2028886363.

It is an arithmetic number, because the mean of its divisors is an integer number (331584991023).

Almost surely, 2^{12735300003325} is an apocalyptic number.

It is an amenable number.

12735300003325 is a deficient number, since it is larger than the sum of its proper divisors (3180779565779).

12735300003325 is a wasteful number, since it uses less digits than its factorization.

12735300003325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 34.

The spelling of 12735300003325 in words is "twelve trillion, seven hundred thirty-five billion, three hundred million, three thousand, three hundred twenty-five".