525852864 has 224 divisors, whose sum is σ = 1641530880. Its totient is φ = 164736000.

The previous prime is 525852829. The next prime is 525852881. The reversal of 525852864 is 468258525.

It is a happy number.

525852864 is a `hidden beast` number, since 5 + 2 + 585 + 2 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4014079 + ... + 4014209.

Almost surely, 2^525852864 is an apocalyptic number.

525852864 is a gapful number since it is divisible by the number (54) 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 525852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820765440).

525852864 is an abundant number, since it is smaller than the sum of its proper divisors (1115678016).

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

525852864 is a wasteful number, since it uses less digits than its factorization.

525852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 525852864 is about 22931.4819407730. The cubic root of 525852864 is about 807.1509232523.

The spelling of 525852864 in words is "five hundred twenty-five million, eight hundred fifty-two thousand, eight hundred sixty-four".