527350000 has 120 divisors (see below), whose sum is σ = 1307728800. Its totient is φ = 205920000.

The previous prime is 527349971. The next prime is 527350001. The reversal of 527350000 is 53725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527350001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2649901 + ... + 2650099.

It is an arithmetic number, because the mean of its divisors is an integer number (10897740).

Almost surely, 2^527350000 is an apocalyptic number.

527350000 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 527350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653864400).

527350000 is an abundant number, since it is smaller than the sum of its proper divisors (780378800).

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

527350000 is an equidigital number, since it uses as much as digits as its factorization.

527350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 527350000 is about 22964.1024209526. The cubic root of 527350000 is about 807.9162005044.

The spelling of 527350000 in words is "five hundred twenty-seven million, three hundred fifty thousand".