726365313 has 20 divisors (see below), whose sum is σ = 1086239748. Its totient is φ = 483719040.

The previous prime is 726365303. The next prime is 726365357. The reversal of 726365313 is 313563627.

726365313 is a `hidden beast` number, since 7 + 2 + 636 + 5 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 658846224 + 67519089 = 25668^2 + 8217^2 .

It is not a de Polignac number, because 726365313 - 2⁵ = 726365281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726365303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79333 + ... + 88013.

Almost surely, 2^726365313 is an apocalyptic number.

It is an amenable number.

726365313 is a deficient number, since it is larger than the sum of its proper divisors (359874435).

726365313 is a wasteful number, since it uses less digits than its factorization.

726365313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9717 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 726365313 is about 26951.1653365861. The cubic root of 726365313 is about 898.9144578578.

The spelling of 726365313 in words is "seven hundred twenty-six million, three hundred sixty-five thousand, three hundred thirteen".