12752972519735 has 64 divisors (see below), whose sum is σ = 17864709408000. Its totient is φ = 8559307210752.

The previous prime is 12752972519731. The next prime is 12752972519773. The reversal of 12752972519735 is 53791527925721.

12752972519735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12752972519735 - 2² = 12752972519731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12752972519731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2047351601 + ... + 2047357829.

It is an arithmetic number, because the mean of its divisors is an integer number (279136084500).

Almost surely, 2^{12752972519735} is an apocalyptic number.

12752972519735 is a deficient number, since it is larger than the sum of its proper divisors (5111736888265).

12752972519735 is a wasteful number, since it uses less digits than its factorization.

12752972519735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300.

The product of its digits is 83349000, while the sum is 65.

The spelling of 12752972519735 in words is "twelve trillion, seven hundred fifty-two billion, nine hundred seventy-two million, five hundred nineteen thousand, seven hundred thirty-five".