725217493 has 54 divisors (see below), whose sum is σ = 1009015938. Its totient is φ = 516257280.

The previous prime is 725217487. The next prime is 725217509. The reversal of 725217493 is 394712527.

It can be written as a sum of positive squares in 3 ways, for example, as 15421329 + 709796164 = 3927^2 + 26642^2 .

It is not a de Polignac number, because 725217493 - 2⁵ = 725217461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725217293) 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 53 ways as a sum of consecutive naturals, for example, 7476421 + ... + 7476517.

Almost surely, 2^725217493 is an apocalyptic number.

It is an amenable number.

725217493 is a deficient number, since it is larger than the sum of its proper divisors (283798445).

725217493 is a wasteful number, since it uses less digits than its factorization.

725217493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 128 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 725217493 is about 26929.8624764405. The cubic root of 725217493 is about 898.4407127878.

The spelling of 725217493 in words is "seven hundred twenty-five million, two hundred seventeen thousand, four hundred ninety-three".