725563593 has 12 divisors (see below), whose sum is σ = 1073598708. Its totient is φ = 471911040.

The previous prime is 725563591. The next prime is 725563603. The reversal of 725563593 is 395365527.

It is a happy number.

725563593 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 635 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74701449 + 650862144 = 8643^2 + 25512^2 .

It is not a de Polignac number, because 725563593 - 2¹ = 725563591 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (725563591) 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 in 11 ways as a sum of consecutive naturals, for example, 982780 + ... + 983517.

It is an arithmetic number, because the mean of its divisors is an integer number (89466559).

Almost surely, 2^725563593 is an apocalyptic number.

It is an amenable number.

725563593 is a deficient number, since it is larger than the sum of its proper divisors (348035115).

725563593 is a wasteful number, since it uses less digits than its factorization.

725563593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966344 (or 1966341 counting only the distinct ones).

The product of its digits is 850500, while the sum is 45.

The square root of 725563593 is about 26936.2876618141. The cubic root of 725563593 is about 898.5836128517.

The spelling of 725563593 in words is "seven hundred twenty-five million, five hundred sixty-three thousand, five hundred ninety-three".