725242527 has 24 divisors (see below), whose sum is σ = 1088558640. Its totient is φ = 464728320.

The previous prime is 725242447. The next prime is 725242541.

725242527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725242527 - 2¹¹ = 725240479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725242491 and 725242500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725242327) 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 23 ways as a sum of consecutive naturals, for example, 53127 + ... + 65367.

It is an arithmetic number, because the mean of its divisors is an integer number (45356610).

Almost surely, 2^725242527 is an apocalyptic number.

725242527 is a deficient number, since it is larger than the sum of its proper divisors (363316113).

725242527 is a wasteful number, since it uses less digits than its factorization.

725242527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12500 counting only the distinct ones).

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

The square root of 725242527 is about 26930.3272724265. The cubic root of 725242527 is about 898.4510505169.

The spelling of 725242527 in words is "seven hundred twenty-five million, two hundred forty-two thousand, five hundred twenty-seven".