512000000000000 has 286 divisors, whose sum is σ = 1279999693775643. Its totient is φ = 204800000000000.

The previous prime is 511999999999979. The next prime is 512000000000003. The reversal of 512000000000000 is 215.

The cubic root of 512000000000000 is 80000.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2225968513024 + 509774031486976 = 1491968^2 + 22578176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=16000000.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512000000000003) 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 12 ways as a sum of consecutive naturals, for example, 102399999999998 + ... + 102400000000002.

Almost surely, 2^{512000000000000} is an apocalyptic number.

512000000000000 is a gapful number since it is divisible by the number (50) 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 512000000000000

512000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (767999693775643).

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

512000000000000 is an frugal number, since it uses more digits than its factorization.

512000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

Adding to 512000000000000 its reverse (215), we get a palindrome (512000000000215).

The spelling of 512000000000000 in words is "five hundred twelve trillion", and thus it is an aban number.