53

This number is a prime.

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The smallest prime that is the arithmetic average of three consecutive double-digit primes (47, 53, 59). [Loungrides]

The smallest prime that is the arithmetic average of seven consecutive primes (41, 43, 47, 53, 59, 61, 67). [Loungrides]

53 is the largest prime less than a googol of form 2*x^x-1 where x is an integer. (7 is the smallest prime of the same form). [Loungrides]

The larger of only two non-titanic primes of form 2*p^p-1 for p a prime, (p=3). The previous is 7 for p=2. [Loungrides]

The only known prime that can be represented as the quotient of the division (q*r*s+1)/p where (p, q, r, s) are four successive primes, p < q < r < s, i.e., (p, q, r, s) = (2, 3, 5, 7). [Loungrides]

The only prime-digit prime that can be represented as the reverse concatenation of the single-digit Fermat primes, (3, 5). [Loungrides]