It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 238 is not a prime number.
For example, 505 238 can be divided by 2: 505 238 / 2 = 252 619.
For 505 238 to be a prime number, it would have been required that 505 238 has only two divisors, i.e., itself and 1.
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505 238 is an even number, because it is evenly divisible by 2: 505 238 / 2 = 252 619.
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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 505 238 is about 710.801.
Thus, the square root of 505 238 is not an integer, and therefore 505 238 is not a square number.
The square of a number (here 505 238) is the result of the product of this number (505 238) by itself (i.e., 505 238 × 505 238); the square of 505 238 is sometimes called "raising 505 238 to the power 2", or "505 238 squared".
The square of 505 238 is 255 265 436 644 because 505 238 × 505 238 = 505 2382 = 255 265 436 644.
As a consequence, 505 238 is the square root of 255 265 436 644.
The multiples of 505 238 are all integers evenly divisible by 505 238, that is all numbers such that the remainder of the division by 505 238 is zero. There are infinitely many multiples of 505 238. The smallest multiples of 505 238 are: