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26113 is a prime number
BaseRepresentation
bin110011000000001
31022211011
412120001
51313423
6320521
7136063
oct63001
938734
1026113
111868a
1213141
13bb69
149733
157b0d
hex6601

26113 has 2 divisors, whose sum is σ = 26114. Its totient is φ = 26112.

The previous prime is 26111. The next prime is 26119. The reversal of 26113 is 31162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 2704 = 153^2 + 52^2 .

26113 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 26113 - 21 = 26111 is a prime.

Together with 26111, it forms a pair of twin primes.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 26093 and 26102.

It is not a weakly prime, because it can be changed into another prime (26111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13056 + 13057.

It is an arithmetic number, because the mean of its divisors is an integer number (13057).

It is a Proth number, since it is equal to 51 ⋅ 29 + 1 and 51 < 29.

226113 is an apocalyptic number.

It is an amenable number.

26113 is a deficient number, since it is larger than the sum of its proper divisors (1).

26113 is an equidigital number, since it uses as much as digits as its factorization.

26113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 13.

The square root of 26113 is about 161.5951731952. The cubic root of 26113 is about 29.6678168697.

Adding to 26113 its reverse (31162), we get a palindrome (57275).

The spelling of 26113 in words is "twenty-six thousand, one hundred thirteen".