252325152 has 192 divisors, whose sum is σ = 800150400. Its totient is φ = 77045760.

The previous prime is 252325147. The next prime is 252325159. The reversal of 252325152 is 251523252.

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

It is not an unprimeable number, because it can be changed into a prime (252325159) 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 31 ways as a sum of consecutive naturals, for example, 601999 + ... + 602417.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2^252325152 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 252325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400075200).

252325152 is an abundant number, since it is smaller than the sum of its proper divisors (547825248).

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

252325152 is a wasteful number, since it uses less digits than its factorization.

252325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 252325152 is about 15884.7458903188. The cubic root of 252325152 is about 631.9075066266.

The spelling of 252325152 in words is "two hundred fifty-two million, three hundred twenty-five thousand, one hundred fifty-two".