725760353 has 2 divisors, whose sum is σ = 725760354. Its totient is φ = 725760352.

The previous prime is 725760257. The next prime is 725760389. The reversal of 725760353 is 353067527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 616181329 + 109579024 = 24823^2 + 10468^2 .

It is an emirp because it is prime and its reverse (353067527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725760353 - 2⁸ = 725760097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (725760053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362880176 + 362880177.

It is an arithmetic number, because the mean of its divisors is an integer number (362880177).

Almost surely, 2^725760353 is an apocalyptic number.

It is an amenable number.

725760353 is a deficient number, since it is larger than the sum of its proper divisors (1).

725760353 is an equidigital number, since it uses as much as digits as its factorization.

725760353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 38.

The square root of 725760353 is about 26939.9397363840. The cubic root of 725760353 is about 898.6648321657.

The spelling of 725760353 in words is "seven hundred twenty-five million, seven hundred sixty thousand, three hundred fifty-three".