725186793241 has 9 divisors (see below), whose sum is σ = 727060833759. Its totient is φ = 723317577336.

The previous prime is 725186793187. The next prime is 725186793299. The reversal of 725186793241 is 142397681527.

The square root of 725186793241 is 851579.

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

It can be written as a sum of positive squares in only one way, i.e., 276292153225 + 448894640016 = 525635^2 + 669996^2 .

It is not a de Polignac number, because 725186793241 - 2¹¹ = 725186791193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725186763241) 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, 428343391 + ... + 428345083.

Almost surely, 2^725186793241 is an apocalyptic number.

725186793241 is the 851579-th square number.

725186793241 is the 425790-th centered octagonal number.

It is an amenable number.

725186793241 is a deficient number, since it is larger than the sum of its proper divisors (1874040518).

725186793241 is an frugal number, since it uses more digits than its factorization.

725186793241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 2196 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 725186793241 in words is "seven hundred twenty-five billion, one hundred eighty-six million, seven hundred ninety-three thousand, two hundred forty-one".