527527648 has 48 divisors (see below), whose sum is σ = 1092755664. Its totient is φ = 250352640.

The previous prime is 527527643. The next prime is 527527669. The reversal of 527527648 is 846725725.

It is a junction number, because it is equal to n+sod(n) for n = 527527598 and 527527607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527527643) 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 7 ways as a sum of consecutive naturals, for example, 43111 + ... + 53977.

It is an arithmetic number, because the mean of its divisors is an integer number (22765743).

Almost surely, 2^527527648 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 527527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546377832).

527527648 is an abundant number, since it is smaller than the sum of its proper divisors (565228016).

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

527527648 is a wasteful number, since it uses less digits than its factorization.

527527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10947 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The square root of 527527648 is about 22967.9700452609. The cubic root of 527527648 is about 808.0069110280.

It can be divided in two parts, 5275 and 27648, that added together give a palindrome (32923).

The spelling of 527527648 in words is "five hundred twenty-seven million, five hundred twenty-seven thousand, six hundred forty-eight".