527813064 has 64 divisors (see below), whose sum is σ = 1469630400. Its totient is φ = 175519872.

The previous prime is 527813057. The next prime is 527813081. The reversal of 527813064 is 460318725.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96039 + ... + 101385.

It is an arithmetic number, because the mean of its divisors is an integer number (22962975).

Almost surely, 2^527813064 is an apocalyptic number.

527813064 is a gapful number since it is divisible by the number (54) 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 527813064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734815200).

527813064 is an abundant number, since it is smaller than the sum of its proper divisors (941817336).

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

527813064 is a wasteful number, since it uses less digits than its factorization.

527813064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 527813064 is about 22974.1825534664. The cubic root of 527813064 is about 808.1526073546.

The spelling of 527813064 in words is "five hundred twenty-seven million, eight hundred thirteen thousand, sixty-four".