51613 has 2 divisors, whose sum is σ = 51614. Its totient is φ = 51612.

The previous prime is 51607. The next prime is 51631. The reversal of 51613 is 31615.

51613 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

Together with next prime (51631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 10404 = 203^2 + 102^2 .

51613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 51613 - 2^{5} = 51581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25806 + 25807.

It is an arithmetic number, because the mean of its divisors is an integer number (25807).

2^{51613} is an apocalyptic number.

It is an amenable number.

51613 is a deficient number, since it is larger than the sum of its proper divisors (1).

51613 is an equidigital number, since it uses as much as digits as its factorization.

51613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90, while the sum is 16.

The square root of 51613 is about 227.1849466844. The cubic root of 51613 is about 37.2322859186.

It can be divided in two parts, 516 and 13, that added together give a square (529 = 23^{2}).

The spelling of 51613 in words is "fifty-one thousand, six hundred thirteen".

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