525782304 has 72 divisors (see below), whose sum is σ = 1500709392. Its totient is φ = 174614400.

The previous prime is 525782303. The next prime is 525782329. The reversal of 525782304 is 403287525.

525782304 is a `hidden beast` number, since 52 + 578 + 2 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (525782303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78279 + ... + 84729.

It is an arithmetic number, because the mean of its divisors is an integer number (20843186).

Almost surely, 2^525782304 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 525782304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750354696).

525782304 is an abundant number, since it is smaller than the sum of its proper divisors (974927088).

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

525782304 is a wasteful number, since it uses less digits than its factorization.

525782304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 525782304 is about 22929.9433928651. The cubic root of 525782304 is about 807.1148199234.

The spelling of 525782304 in words is "five hundred twenty-five million, seven hundred eighty-two thousand, three hundred four".