252323010 has 144 divisors (see below), whose sum is σ = 711196200. Its totient is φ = 62042112.

The previous prime is 252323009. The next prime is 252323051. The reversal of 252323010 is 10323252.

It can be written as a sum of positive squares in 12 ways, for example, as 69505569 + 182817441 = 8337^2 + 13521^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2314836 + ... + 2314944.

Almost surely, 2^252323010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355598100).

252323010 is an abundant number, since it is smaller than the sum of its proper divisors (458873190).

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

252323010 is a wasteful number, since it uses less digits than its factorization.

252323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 252323010 is about 15884.6784670008. The cubic root of 252323010 is about 631.9057185241.

Adding to 252323010 its reverse (10323252), we get a palindrome (262646262).

The spelling of 252323010 in words is "two hundred fifty-two million, three hundred twenty-three thousand, ten".