527085900 has 144 divisors (see below), whose sum is σ = 1848631680. Its totient is φ = 127771200.

The previous prime is 527085899. The next prime is 527085913. The reversal of 527085900 is 9580725.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20827 + ... + 38573.

It is an arithmetic number, because the mean of its divisors is an integer number (12837720).

Almost surely, 2^527085900 is an apocalyptic number.

527085900 is a gapful number since it is divisible by the number (50) 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 527085900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924315840).

527085900 is an abundant number, since it is smaller than the sum of its proper divisors (1321545780).

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

527085900 is a wasteful number, since it uses less digits than its factorization.

527085900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17781 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 527085900 is about 22958.3514216505. The cubic root of 527085900 is about 807.7813082459.

The spelling of 527085900 in words is "five hundred twenty-seven million, eighty-five thousand, nine hundred".