725300657 has 2 divisors, whose sum is σ = 725300658. Its totient is φ = 725300656.

The previous prime is 725300581. The next prime is 725300669. The reversal of 725300657 is 756003527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 711875761 + 13424896 = 26681^2 + 3664^2 .

It is a cyclic number.

It is not a de Polignac number, because 725300657 - 2¹⁸ = 725038513 is a prime.

It is a super-2 number, since 2×725300657² = 1052122086089263298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (725300687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362650328 + 362650329.

It is an arithmetic number, because the mean of its divisors is an integer number (362650329).

Almost surely, 2^725300657 is an apocalyptic number.

It is an amenable number.

725300657 is a deficient number, since it is larger than the sum of its proper divisors (1).

725300657 is an equidigital number, since it uses as much as digits as its factorization.

725300657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 725300657 is about 26931.4065172987. The cubic root of 725300657 is about 898.4750542409.

The spelling of 725300657 in words is "seven hundred twenty-five million, three hundred thousand, six hundred fifty-seven".