512214032010224 has 160 divisors (see below), whose sum is σ = 1116472816166400. Its totient is φ = 226219395317760.

The previous prime is 512214032010223. The next prime is 512214032010253. The reversal of 512214032010224 is 422010230412215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512214032010223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389977997 + ... + 391289235.

It is an arithmetic number, because the mean of its divisors is an integer number (6977955101040).

Almost surely, 2^{512214032010224} 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 512214032010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558236408083200).

512214032010224 is an abundant number, since it is smaller than the sum of its proper divisors (604258784156176).

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

512214032010224 is a wasteful number, since it uses less digits than its factorization.

512214032010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311991 (or 1311985 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 512214032010224 its reverse (422010230412215), we get a palindrome (934224262422439).

The spelling of 512214032010224 in words is "five hundred twelve trillion, two hundred fourteen billion, thirty-two million, ten thousand, two hundred twenty-four".