52568000 has 56 divisors (see below), whose sum is σ = 130204464. Its totient is φ = 21024000.

The previous prime is 52567937. The next prime is 52568023. The reversal of 52568000 is 86525.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4715 + ... + 11285.

Almost surely, 2^52568000 is an apocalyptic number.

52568000 is a gapful number since it is divisible by the number (50) 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 52568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65102232).

52568000 is an abundant number, since it is smaller than the sum of its proper divisors (77636464).

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

52568000 is an equidigital number, since it uses as much as digits as its factorization.

52568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 52568000 is about 7250.3793004228. The cubic root of 52568000 is about 374.6052141599.

The spelling of 52568000 in words is "fifty-two million, five hundred sixty-eight thousand".