725779613329 has 9 divisors (see below), whose sum is σ = 727356539451. Its totient is φ = 724206104160.

The previous prime is 725779613309. The next prime is 725779613359. The reversal of 725779613329 is 923316977527.

It is a happy number.

The square root of 725779613329 is 851927.

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

725779613329 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., 127322653329 + 598456960000 = 356823^2 + 773600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-725779613329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725779613309) 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, 750547204 + ... + 750548170.

Almost surely, 2^725779613329 is an apocalyptic number.

725779613329 is the 851927-th square number.

725779613329 is the 425964-th centered octagonal number.

It is an amenable number.

725779613329 is a deficient number, since it is larger than the sum of its proper divisors (1576926122).

725779613329 is an frugal number, since it uses more digits than its factorization.

725779613329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 1848 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 61.

The spelling of 725779613329 in words is "seven hundred twenty-five billion, seven hundred seventy-nine million, six hundred thirteen thousand, three hundred twenty-nine".