252000252 has 72 divisors (see below), whose sum is σ = 735282912. Its totient is φ = 71280000.

The previous prime is 252000247. The next prime is 252000257.

252000252 is nontrivially palindromic in base 10.

252000252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252000247) and next prime (252000257).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252000257) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20502 + ... + 30402.

Almost surely, 2^252000252 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 252000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367641456).

252000252 is an abundant number, since it is smaller than the sum of its proper divisors (483282660).

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

252000252 is a wasteful number, since it uses less digits than its factorization.

252000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252000252 is about 15874.5158036395. The cubic root of 252000252 is about 631.6361703109.

It can be divided in two parts, 252000 and 252, that added together give a palindrome (252252).

The spelling of 252000252 in words is "two hundred fifty-two million, two hundred fifty-two", and thus it is an aban number.