527201280 has 264 divisors, whose sum is σ = 1937067912. Its totient is φ = 132120576.

The previous prime is 527201273. The next prime is 527201293. The reversal of 527201280 is 82102725.

It can be written as a sum of positive squares in 4 ways, for example, as 72999936 + 454201344 = 8544^2 + 21312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783024 + ... + 783696.

Almost surely, 2^527201280 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 527201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968533956).

527201280 is an abundant number, since it is smaller than the sum of its proper divisors (1409866632).

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

527201280 is a wasteful number, since it uses less digits than its factorization.

527201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 527201280 is about 22960.8640952382. The cubic root of 527201280 is about 807.8402455131.

The spelling of 527201280 in words is "five hundred twenty-seven million, two hundred one thousand, two hundred eighty".