725550723710561 has 8 divisors (see below), whose sum is σ = 829203198117120. Its totient is φ = 621898842058848.

The previous prime is 725550723710537. The next prime is 725550723710569. The reversal of 725550723710561 is 165017327055527.

It is a happy number.

725550723710561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 725550723710561 - 2⁴⁶ = 655181979532897 is a prime.

It is a super-2 number, since 2×725550723710561² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 725550723710497 and 725550723710506.

It is not an unprimeable number, because it can be changed into a prime (725550723710569) 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, 145562681 + ... + 150464598.

It is an arithmetic number, because the mean of its divisors is an integer number (103650399764640).

Almost surely, 2^{725550723710561} is an apocalyptic number.

It is an amenable number.

725550723710561 is a deficient number, since it is larger than the sum of its proper divisors (103652474406559).

725550723710561 is a wasteful number, since it uses less digits than its factorization.

725550723710561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296377423.

The product of its (nonzero) digits is 15435000, while the sum is 56.

The spelling of 725550723710561 in words is "seven hundred twenty-five trillion, five hundred fifty billion, seven hundred twenty-three million, seven hundred ten thousand, five hundred sixty-one".