512605123351312 has 80 divisors (see below), whose sum is σ = 1039721725550592. Its totient is φ = 244362785546880.

The previous prime is 512605123351301. The next prime is 512605123351357. The reversal of 512605123351312 is 213153321506215.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348002833 + ... + 349472719.

Almost surely, 2^{512605123351312} 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 512605123351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519860862775296).

512605123351312 is an abundant number, since it is smaller than the sum of its proper divisors (527116602199280).

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

512605123351312 is a wasteful number, since it uses less digits than its factorization.

512605123351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472996 (or 1472990 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

Adding to 512605123351312 its reverse (213153321506215), we get a palindrome (725758444857527).

The spelling of 512605123351312 in words is "five hundred twelve trillion, six hundred five billion, one hundred twenty-three million, three hundred fifty-one thousand, three hundred twelve".