725404527 has 24 divisors (see below), whose sum is σ = 1058220800. Its totient is φ = 478820160.

The previous prime is 725404507. The next prime is 725404531.

It is a happy number.

725404527 is a `hidden beast` number, since 72 + 540 + 45 + 2 + 7 = 666.

725404527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725404527 - 2¹⁴ = 725388143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 725404491 and 725404500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725404507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492402 + ... + 493872.

Almost surely, 2^725404527 is an apocalyptic number.

725404527 is a deficient number, since it is larger than the sum of its proper divisors (332816273).

725404527 is a wasteful number, since it uses less digits than its factorization.

725404527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 725404527 is about 26933.3348659240. The cubic root of 725404527 is about 898.5179422710.

The spelling of 725404527 in words is "seven hundred twenty-five million, four hundred four thousand, five hundred twenty-seven".