527816520 has 384 divisors, whose sum is σ = 2213971200. Its totient is φ = 109486080.

The previous prime is 527816483. The next prime is 527816521. The reversal of 527816520 is 25618725.

It is a happy number.

527816520 is a `hidden beast` number, since 52 + 7 + 81 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (527816521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914472 + ... + 915048.

It is an arithmetic number, because the mean of its divisors is an integer number (5765550).

Almost surely, 2^527816520 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 527816520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106985600).

527816520 is an abundant number, since it is smaller than the sum of its proper divisors (1686154680).

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

527816520 is a wasteful number, since it uses less digits than its factorization.

527816520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 527816520 is about 22974.2577682066. The cubic root of 527816520 is about 808.1543712173.

The spelling of 527816520 in words is "five hundred twenty-seven million, eight hundred sixteen thousand, five hundred twenty".