252511350 has 144 divisors (see below), whose sum is σ = 775521792. Its totient is φ = 53239680.

The previous prime is 252511291. The next prime is 252511361. The reversal of 252511350 is 53115252.

It is a happy number.

252511350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252511350.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 176739 + ... + 178161.

It is an arithmetic number, because the mean of its divisors is an integer number (5385568).

Almost surely, 2^252511350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252511350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387760896).

252511350 is an abundant number, since it is smaller than the sum of its proper divisors (523010442).

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

252511350 is a wasteful number, since it uses less digits than its factorization.

252511350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 252511350 is about 15890.6057153275. The cubic root of 252511350 is about 632.0629026613.

The spelling of 252511350 in words is "two hundred fifty-two million, five hundred eleven thousand, three hundred fifty".