52313 has 2 divisors, whose sum is σ = 52314. Its totient is φ = 52312.

The previous prime is 52301. The next prime is 52321. The reversal of 52313 is 31325.

52313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 784 = 227^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 52313 - 2⁶ = 52249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26156 + 26157.

It is an arithmetic number, because the mean of its divisors is an integer number (26157).

2⁵²³¹³ is an apocalyptic number.

It is an amenable number.

52313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52313 is an equidigital number, since it uses as much as digits as its factorization.

52313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90, while the sum is 14.

The square root of 52313 is about 228.7203532701. The cubic root of 52313 is about 37.3998512963.

Adding to 52313 its reverse (31325), we get a palindrome (83638).

The spelling of 52313 in words is "fifty-two thousand, three hundred thirteen".