252585000 has 160 divisors (see below), whose sum is σ = 877219200. Its totient is φ = 67320000.

The previous prime is 252584947. The next prime is 252585007. The reversal of 252585000 is 585252.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252585007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 134065 + ... + 135935.

It is an arithmetic number, because the mean of its divisors is an integer number (5482620).

Almost surely, 2^252585000 is an apocalyptic number.

252585000 is a gapful number since it is divisible by the number (20) 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 252585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438609600).

252585000 is an abundant number, since it is smaller than the sum of its proper divisors (624634200).

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

252585000 is a wasteful number, since it uses less digits than its factorization.

252585000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 252585000 is about 15892.9229533148. The cubic root of 252585000 is about 632.1243479622.

The spelling of 252585000 in words is "two hundred fifty-two million, five hundred eighty-five thousand".