512656000000 has 231 divisors, whose sum is σ = 1288194194497. Its totient is φ = 203916800000.

The previous prime is 512655999941. The next prime is 512656000007. The reversal of 512656000000 is 656215.

The square root of 512656000000 is 716000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 449135870976 + 63520129024 = 670176^2 + 252032^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512656000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2863999911 + ... + 2864000089.

Almost surely, 2^512656000000 is an apocalyptic number.

512656000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

512656000000 is the 716000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512656000000

512656000000 is an abundant number, since it is smaller than the sum of its proper divisors (775538194497).

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

512656000000 is an frugal number, since it uses more digits than its factorization.

512656000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Multiplying 512656000000 by its sum of digits (25), we get a square (12816400000000 = 3580000²).

512656000000 divided by its sum of digits (25) gives a square (20506240000 = 143200²).

Adding to 512656000000 its reverse (656215), we get a palindrome (512656656215).

The spelling of 512656000000 in words is "five hundred twelve billion, six hundred fifty-six million", and thus it is an aban number.