It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 825 838 012 is not a prime number.
For example, 825 838 012 can be divided by 2: 825 838 012 / 2 = 412 919 006.
For 825 838 012 to be a prime number, it would have been required that 825 838 012 has only two divisors, i.e., itself and 1.
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825 838 012 is an even number, because it is evenly divisible by 2: 825 838 012 / 2 = 412 919 006.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 825 838 012 is about 28 737.397.
Thus, the square root of 825 838 012 is not an integer, and therefore 825 838 012 is not a square number.
The square of a number (here 825 838 012) is the result of the product of this number (825 838 012) by itself (i.e., 825 838 012 × 825 838 012); the square of 825 838 012 is sometimes called "raising 825 838 012 to the power 2", or "825 838 012 squared".
The square of 825 838 012 is 682 008 422 064 112 128 because 825 838 012 × 825 838 012 = 825 838 0122 = 682 008 422 064 112 128.
As a consequence, 825 838 012 is the square root of 682 008 422 064 112 128.
825 838 012 is a number with 9 digits.
The multiples of 825 838 012 are all integers evenly divisible by 825 838 012, that is all numbers such that the remainder of the division by 825 838 012 is zero. There are infinitely many multiples of 825 838 012. The smallest multiples of 825 838 012 are: