527043216 has 120 divisors (see below), whose sum is σ = 1638645120. Its totient is φ = 145372416.

The previous prime is 527043211. The next prime is 527043227. The reversal of 527043216 is 612340725.

It is not an unprimeable number, because it can be changed into a prime (527043211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64345 + ... + 72071.

It is an arithmetic number, because the mean of its divisors is an integer number (13655376).

Almost surely, 2^527043216 is an apocalyptic number.

527043216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527043216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819322560).

527043216 is an abundant number, since it is smaller than the sum of its proper divisors (1111601904).

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

527043216 is a wasteful number, since it uses less digits than its factorization.

527043216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 527043216 is about 22957.4218064660. The cubic root of 527043216 is about 807.7595026490.

The spelling of 527043216 in words is "five hundred twenty-seven million, forty-three thousand, two hundred sixteen".