525883680 has 432 divisors, whose sum is σ = 2167958520. Its totient is φ = 115605504.

The previous prime is 525883643. The next prime is 525883703. The reversal of 525883680 is 86388525.

It is a happy number.

525883680 is a `hidden beast` number, since 5 + 2 + 588 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518199696 + 7683984 = 22764^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 2046112 + ... + 2046368.

Almost surely, 2^525883680 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 525883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083979260).

525883680 is an abundant number, since it is smaller than the sum of its proper divisors (1642074840).

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

525883680 is a wasteful number, since it uses less digits than its factorization.

525883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 525883680 is about 22932.1538456378. The cubic root of 525883680 is about 807.1666898154.

The spelling of 525883680 in words is "five hundred twenty-five million, eight hundred eighty-three thousand, six hundred eighty".