61
This number is a prime.
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The reversal of 61 is a fourth power and the reversal of its fourth power is a prime. Are there any more primes with both of these properties? See answer here. [Gaydos]
The sum of the lowest digit in each of the powers of two (2 + 4 + 8 + 1 + 2 + 4 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 1 + 2 + 3 + 0 ...) is 61 unless there are some large power of two that has no zero. [Gaydos]
The 61st decade (601 to 610) was the first to have no semiprime year. [Gaydos]
61 and its prime index (18) are both reverse fourth powers. There are no more examples of this property in the first billion primes. Are there any more at all? [Gaydos]
Exactly half (61) of the first 122 emirps are distinct-digit numbers. [Gaydos]