525866880 has 256 divisors, whose sum is σ = 2090396160. Its totient is φ = 109240320.

The previous prime is 525866863. The next prime is 525866911. The reversal of 525866880 is 88668525.

It is a super-3 number, since 3×525866880³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 146062 + ... + 149618.

It is an arithmetic number, because the mean of its divisors is an integer number (8165610).

Almost surely, 2^525866880 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 525866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045198080).

525866880 is an abundant number, since it is smaller than the sum of its proper divisors (1564529280).

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

525866880 is a wasteful number, since it uses less digits than its factorization.

525866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 525866880 is about 22931.7875448034. The cubic root of 525866880 is about 807.1580944134.

The spelling of 525866880 in words is "five hundred twenty-five million, eight hundred sixty-six thousand, eight hundred eighty".