5261 has 2 divisors, whose sum is σ = 5262. Its totient is φ = 5260.

The previous prime is 5237. The next prime is 5273. The reversal of 5261 is 1625.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 361 = 70^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 5261 - 2⁶ = 5197 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2630 + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (2631).

2⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

5261 is a deficient number, since it is larger than the sum of its proper divisors (1).

5261 is an equidigital number, since it uses as much as digits as its factorization.

5261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 14.

The square root of 5261 is about 72.5327512232. The cubic root of 5261 is about 17.3922632623.

Adding to 5261 its reverse (1625), we get a palindrome (6886).

The spelling of 5261 in words is "five thousand, two hundred sixty-one".