It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 013 004 is not a prime number.
For example, 4 013 004 can be divided by 2: 4 013 004 / 2 = 2 006 502.
For 4 013 004 to be a prime number, it would have been required that 4 013 004 has only two divisors, i.e., itself and 1.
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4 013 004 is an even number, because it is evenly divisible by 2: 4 013 004 / 2 = 2 006 502.
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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 4 013 004 is about 2 003.248.
Thus, the square root of 4 013 004 is not an integer, and therefore 4 013 004 is not a square number.
The square of a number (here 4 013 004) is the result of the product of this number (4 013 004) by itself (i.e., 4 013 004 × 4 013 004); the square of 4 013 004 is sometimes called "raising 4 013 004 to the power 2", or "4 013 004 squared".
The square of 4 013 004 is 16 104 201 104 016 because 4 013 004 × 4 013 004 = 4 013 0042 = 16 104 201 104 016.
As a consequence, 4 013 004 is the square root of 16 104 201 104 016.
The multiples of 4 013 004 are all integers evenly divisible by 4 013 004, that is all numbers such that the remainder of the division by 4 013 004 is zero. There are infinitely many multiples of 4 013 004. The smallest multiples of 4 013 004 are: