725756723011133 has 24 divisors (see below), whose sum is σ = 797880586335168. Its totient is φ = 659656454688000.

The previous prime is 725756723011109. The next prime is 725756723011139. The reversal of 725756723011133 is 331110327657527.

725756723011133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725756723011133 - 2⁶ = 725756723011069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725756723011139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23999082893 + ... + 23999113133.

It is an arithmetic number, because the mean of its divisors is an integer number (33245024430632).

Almost surely, 2^{725756723011133} is an apocalyptic number.

It is an amenable number.

725756723011133 is a deficient number, since it is larger than the sum of its proper divisors (72123863324035).

725756723011133 is a wasteful number, since it uses less digits than its factorization.

725756723011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60497 (or 60486 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 53.

The spelling of 725756723011133 in words is "seven hundred twenty-five trillion, seven hundred fifty-six billion, seven hundred twenty-three million, eleven thousand, one hundred thirty-three".