527084032 has 40 divisors (see below), whose sum is σ = 1064095956. Its totient is φ = 260800512.

The previous prime is 527084029. The next prime is 527084039. The reversal of 527084032 is 230480725.

It can be written as a sum of positive squares in 2 ways, for example, as 465869056 + 61214976 = 21584^2 + 7824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 527083985 and 527084003.

It is not an unprimeable number, because it can be changed into a prime (527084039) 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 3 ways as a sum of consecutive naturals, for example, 44358 + ... + 54970.

Almost surely, 2^527084032 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 527084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532047978).

527084032 is an abundant number, since it is smaller than the sum of its proper divisors (537011924).

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

527084032 is an equidigital number, since it uses as much as digits as its factorization.

527084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 527084032 is about 22958.3107392508. The cubic root of 527084032 is about 807.7803539820.

The spelling of 527084032 in words is "five hundred twenty-seven million, eighty-four thousand, thirty-two".