512841312 has 288 divisors, whose sum is σ = 1680588000. Its totient is φ = 147308544.

The previous prime is 512841311. The next prime is 512841323. The reversal of 512841312 is 213148215.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×512841312² = 526012422587762688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512841311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3441814 + ... + 3441962.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^512841312 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 512841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840294000).

512841312 is an abundant number, since it is smaller than the sum of its proper divisors (1167746688).

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

512841312 is a wasteful number, since it uses less digits than its factorization.

512841312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 512841312 is about 22645.9999116842. Note that the first 4 decimals coincide. The cubic root of 512841312 is about 800.4379435464.

Adding to 512841312 its reverse (213148215), we get a palindrome (725989527).

The spelling of 512841312 in words is "five hundred twelve million, eight hundred forty-one thousand, three hundred twelve".