525864960 has 260 divisors, whose sum is σ = 1891039788. Its totient is φ = 139788288.

The previous prime is 525864953. The next prime is 525864971. The reversal of 525864960 is 69468525.

525864960 is a `hidden beast` number, since 5 + 2 + 586 + 4 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 429981696 = 9792^2 + 20736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658722 + ... + 1659038.

Almost surely, 2^525864960 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 525864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945519894).

525864960 is an abundant number, since it is smaller than the sum of its proper divisors (1365174828).

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

525864960 is an equidigital number, since it uses as much as digits as its factorization.

525864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 525864960 is about 22931.7456814783. The cubic root of 525864960 is about 807.1571120701.

The spelling of 525864960 in words is "five hundred twenty-five million, eight hundred sixty-four thousand, nine hundred sixty".