725404813849 has 9 divisors (see below), whose sum is σ = 732604551903. Its totient is φ = 718275174552.

The previous prime is 725404813829. The next prime is 725404813909. The reversal of 725404813849 is 948318404527.

The square root of 725404813849 is 851707.

It is a perfect power (a square), and thus also a powerful number.

725404813849 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 only one way, i.e., 667314173449 + 58090640400 = 816893^2 + 241020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-725404813849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725404813849.

It is not an unprimeable number, because it can be changed into a prime (725404813829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87721687 + ... + 87729955.

It is an arithmetic number, because the mean of its divisors is an integer number (81400505767).

Almost surely, 2^725404813849 is an apocalyptic number.

725404813849 is the 851707-th square number.

725404813849 is the 425854-th centered octagonal number.

It is an amenable number.

725404813849 is a deficient number, since it is larger than the sum of its proper divisors (7199738054).

725404813849 is an frugal number, since it uses more digits than its factorization.

725404813849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 725404813849 in words is "seven hundred twenty-five billion, four hundred four million, eight hundred thirteen thousand, eight hundred forty-nine".