53 (fifty-three) is the natural number following 52 and preceding 54. It is the 16th prime number.
In mathematics
Fifty-three is the 16th prime number. It is the second balanced prime, and fifth isolated prime.
53 is a sexy prime with 47 and 59. It is the eighth Sophie Germain prime, and the ninth Eisenstein prime.[1]
The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by only a few other numbers.[2][3]
53 cannot be expressed as the sum of any integer and its decimal digits, making 53 the ninth self number in decimal.[4]
53 is the smallest prime number that does not divide the order of any sporadic group, inclusive of the six pariahs; it is also the first prime number that is not a member of Bhargava's prime-universality criterion theorem (followed by the next prime number 59), an integer-matrix quadratic form that represents all prime numbers when it represents the sequence of seventeen integers {2, ..., 47, 67, 73}.[5]
In hexadecimal, 53 is 35, that is, the same characters used in the decimal representation, but reversed. Four additional multiples of 53 share this property: 371 = 17316, 5141 = 141516, 99,481 = 1849916, and 8,520,280 = 082025816. Aside from the trivial single digit numbers, these are the only numbers that share this property.[6]
References
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