252567000 has 384 divisors, whose sum is σ = 1031846400. Its totient is φ = 54432000.

The previous prime is 252566971. The next prime is 252567037. The reversal of 252567000 is 765252.

252567000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252567000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196895 + ... + 1197105.

It is an arithmetic number, because the mean of its divisors is an integer number (2687100).

Almost surely, 2^252567000 is an apocalyptic number.

252567000 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 252567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515923200).

252567000 is an abundant number, since it is smaller than the sum of its proper divisors (779279400).

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

252567000 is a wasteful number, since it uses less digits than its factorization.

252567000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252567000 is about 15892.3566534356. The cubic root of 252567000 is about 632.1093318837.

The spelling of 252567000 in words is "two hundred fifty-two million, five hundred sixty-seven thousand".