252841512 has 192 divisors, whose sum is σ = 833932800. Its totient is φ = 62052480.

The previous prime is 252841447. The next prime is 252841513. The reversal of 252841512 is 215148252.

252841512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252841512² = 127857660380892288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252841512.

It is not an unprimeable number, because it can be changed into a prime (252841513) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 666939 + ... + 667317.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^252841512 is an apocalyptic number.

252841512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252841512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416966400).

252841512 is an abundant number, since it is smaller than the sum of its proper divisors (581091288).

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

252841512 is a wasteful number, since it uses less digits than its factorization.

252841512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 421 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 252841512 is about 15900.9909125186. The cubic root of 252841512 is about 632.3382596120.

Adding to 252841512 its reverse (215148252), we get a palindrome (467989764).

It can be divided in two parts, 25284 and 1512, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 252841512 in words is "two hundred fifty-two million, eight hundred forty-one thousand, five hundred twelve".