725808527 has 8 divisors (see below), whose sum is σ = 744055200. Its totient is φ = 707587840.

The previous prime is 725808511. The next prime is 725808533.

725808527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 725808527 - 2⁴ = 725808511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725838527) 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 7 ways as a sum of consecutive naturals, for example, 57974 + ... + 69372.

It is an arithmetic number, because the mean of its divisors is an integer number (93006900).

Almost surely, 2^725808527 is an apocalyptic number.

725808527 is a deficient number, since it is larger than the sum of its proper divisors (18246673).

725808527 is a wasteful number, since it uses less digits than its factorization.

725808527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993.

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 725808527 is about 26940.8338215431. The cubic root of 725808527 is about 898.6847153689.

The spelling of 725808527 in words is "seven hundred twenty-five million, eight hundred eight thousand, five hundred twenty-seven".