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10613 is a prime number

10613 has 2 divisors, whose sum is σ = 10614. Its totient is φ = 10612.

The previous prime is 10607. The next prime is 10627. The reversal of 10613 is 31601.

It can be divided in two parts, 106 and 13, that multiplied together give a triangular number (1378 = T52).

10613 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609 + 4 = 103^2 + 2^2 .

It is an emirp because it is prime and its reverse (31601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10613 - 24 = 10597 is a prime.

It is a super-2 number, since 2×106132 = 225271538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10594 and 10603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5306 + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (5307).

210613 is an apocalyptic number.

It is an amenable number.

10613 is a deficient number, since it is larger than the sum of its proper divisors (1).

10613 is an equidigital number, since it uses as much as digits as its factorization.

10613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10613 is about 103.0194156458. The cubic root of 10613 is about 21.9758688578.

The spelling of 10613 in words is "ten thousand, six hundred thirteen".