52813 has 2 divisors, whose sum is σ = 52814. Its totient is φ = 52812.

The previous prime is 52807. The next prime is 52817. The reversal of 52813 is 31825.

52813 = 162² + 163².

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26569 + 26244 = 163^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 52813 - 2⁹ = 52301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26406 + 26407.

It is an arithmetic number, because the mean of its divisors is an integer number (26407).

2⁵²⁸¹³ is an apocalyptic number.

52813 is the 163-rd centered square number.

It is an amenable number.

52813 is a deficient number, since it is larger than the sum of its proper divisors (1).

52813 is an equidigital number, since it uses as much as digits as its factorization.

52813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 52813 is about 229.8107917396. The cubic root of 52813 is about 37.5186277823.

The spelling of 52813 in words is "fifty-two thousand, eight hundred thirteen".