5273
This number is a prime.
The sum of the first and only even palindromic prime and the first (5 + 2 + 7 + 3) odd palindromic primes. Note that the sum is composed of all four palindromic prime digits. [Post]
The only distinct-digit prime-digit prime that, repeating
each of its digits d, (d+1) times, creates another
prime-digit prime, i.e., 555555222777777773333. [Loungrides]
The largest known prime p that divides P(p), the number of
partitions of p. Note that
P(5273) =
21324454654025779150078250115620526414565357199214419652174475578296382696055
= 5 × 7 × 17 × 37 × 5273 × 305971 × 182248 634924
894453 × 283809 003678 349559 × 11607 287812 587037 273754
619257. [Sariyar]
(There is one curio for this number that has not yet been approved by an editor.)
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