252551712 has 144 divisors (see below), whose sum is σ = 777905856. Its totient is φ = 70272000.

The previous prime is 252551701. The next prime is 252551797. The reversal of 252551712 is 217155252.

It is a self number, because there is not a number n which added to its sum of digits gives 252551712.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2500462 + ... + 2500562.

It is an arithmetic number, because the mean of its divisors is an integer number (5402124).

Almost surely, 2^252551712 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 252551712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388952928).

252551712 is an abundant number, since it is smaller than the sum of its proper divisors (525354144).

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

252551712 is a wasteful number, since it uses less digits than its factorization.

252551712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 174 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 252551712 is about 15891.8756602234. The cubic root of 252551712 is about 632.0965776674.

The spelling of 252551712 in words is "two hundred fifty-two million, five hundred fifty-one thousand, seven hundred twelve".