It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 215 070 269 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 215 070 269, the only two divisors are 1 and 215 070 269. Therefore 215 070 269 is a prime number.
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Since 215070269 is a prime number, 215070269 is also a deficient number, that is to say 215070269 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 215070269 without 215070269 itself (that is 1, by definition!).