725760257 has 2 divisors, whose sum is σ = 725760258. Its totient is φ = 725760256.

The previous prime is 725760223. The next prime is 725760353. The reversal of 725760257 is 752067527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 469632241 + 256128016 = 21671^2 + 16004^2 .

It is a cyclic number.

It is not a de Polignac number, because 725760257 - 2⁸ = 725760001 is a prime.

It is not a weakly prime, because it can be changed into another prime (725760857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362880128 + 362880129.

It is an arithmetic number, because the mean of its divisors is an integer number (362880129).

Almost surely, 2^725760257 is an apocalyptic number.

It is an amenable number.

725760257 is a deficient number, since it is larger than the sum of its proper divisors (1).

725760257 is an equidigital number, since it uses as much as digits as its factorization.

725760257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 725760257 is about 26939.9379546427. The cubic root of 725760257 is about 898.6647925421.

The spelling of 725760257 in words is "seven hundred twenty-five million, seven hundred sixty thousand, two hundred fifty-seven".