252075330 has 72 divisors (see below), whose sum is σ = 709731828. Its totient is φ = 62045568.

The previous prime is 252075287. The next prime is 252075349. The reversal of 252075330 is 33570252.

It can be written as a sum of positive squares in 6 ways, for example, as 41332041 + 210743289 = 6429^2 + 14517^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252075294 and 252075303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6924 + ... + 23496.

Almost surely, 2^252075330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252075330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354865914).

252075330 is an abundant number, since it is smaller than the sum of its proper divisors (457656498).

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

252075330 is a wasteful number, since it uses less digits than its factorization.

252075330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612 (or 16596 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 252075330 is about 15876.8803610785. The cubic root of 252075330 is about 631.6988915071.

It can be divided in two parts, 252075 and 330, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 252075330 in words is "two hundred fifty-two million, seventy-five thousand, three hundred thirty".