53113 has 2 divisors, whose sum is σ = 53114. Its totient is φ = 53112.

The previous prime is 53101. The next prime is 53117. The reversal of 53113 is 31135.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 7744 = 213^2 + 88^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53113 is a prime.

53113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 53093 and 53102.

It is not a weakly prime, because it can be changed into another prime (53117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26556 + 26557.

It is an arithmetic number, because the mean of its divisors is an integer number (26557).

2⁵³¹¹³ is an apocalyptic number.

It is an amenable number.

53113 is a deficient number, since it is larger than the sum of its proper divisors (1).

53113 is an equidigital number, since it uses as much as digits as its factorization.

53113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 13.

The square root of 53113 is about 230.4625783072. The cubic root of 53113 is about 37.5895342080.

Adding to 53113 its reverse (31135), we get a palindrome (84248).

It can be divided in two parts, 531 and 13, that multiplied together give a triangular number (6903 = T₁₁₇).

The spelling of 53113 in words is "fifty-three thousand, one hundred thirteen".