527648256 has 120 divisors (see below), whose sum is σ = 1579602024. Its totient is φ = 175841280.

The previous prime is 527648237. The next prime is 527648263. The reversal of 527648256 is 652846725.

527648256 is a `hidden beast` number, since 52 + 76 + 482 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122296 + ... + 126536.

Almost surely, 2^527648256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789801012).

527648256 is an abundant number, since it is smaller than the sum of its proper divisors (1051953768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527648256 is an frugal number, since it uses more digits than its factorization.

527648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4246 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 527648256 is about 22970.5954646370. The cubic root of 527648256 is about 808.0684842126.

The spelling of 527648256 in words is "five hundred twenty-seven million, six hundred forty-eight thousand, two hundred fifty-six".