252651248 has 40 divisors (see below), whose sum is σ = 513397200. Its totient is φ = 120282624.

The previous prime is 252651247. The next prime is 252651319. The reversal of 252651248 is 842156252.

252651248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252651247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30143 + ... + 37601.

It is an arithmetic number, because the mean of its divisors is an integer number (12834930).

Almost surely, 2^252651248 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 252651248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256698600).

252651248 is an abundant number, since it is smaller than the sum of its proper divisors (260745952).

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

252651248 is a wasteful number, since it uses less digits than its factorization.

252651248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7563 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 252651248 is about 15895.0070147830. The cubic root of 252651248 is about 632.1796076611.

The spelling of 252651248 in words is "two hundred fifty-two million, six hundred fifty-one thousand, two hundred forty-eight".