252005152 has 48 divisors (see below), whose sum is σ = 576338112. Its totient is φ = 106225920.

The previous prime is 252005137. The next prime is 252005153. The reversal of 252005152 is 251500252.

252005152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252005153) 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 7 ways as a sum of consecutive naturals, for example, 4443 + ... + 22885.

It is an arithmetic number, because the mean of its divisors is an integer number (12007044).

Almost surely, 2^252005152 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 252005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288169056).

252005152 is an abundant number, since it is smaller than the sum of its proper divisors (324332960).

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

252005152 is a wasteful number, since it uses less digits than its factorization.

252005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 252005152 is about 15874.6701383052. The cubic root of 252005152 is about 631.6402642184.

The spelling of 252005152 in words is "two hundred fifty-two million, five thousand, one hundred fifty-two".