506113 has 2 divisors, whose sum is σ = 506114. Its totient is φ = 506112.

The previous prime is 506101. The next prime is 506119. The reversal of 506113 is 311605.

506113 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 178929 = 572^2 + 423^2 .

It is a cyclic number.

It is not a de Polignac number, because 506113 - 2⁹ = 505601 is a prime.

506113 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (506119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253056 + 253057.

It is an arithmetic number, because the mean of its divisors is an integer number (253057).

2⁵⁰⁶¹¹³ is an apocalyptic number.

It is an amenable number.

506113 is a deficient number, since it is larger than the sum of its proper divisors (1).

506113 is an equidigital number, since it uses as much as digits as its factorization.

506113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 506113 is about 711.4161932371. The cubic root of 506113 is about 79.6922026957.

Adding to 506113 its reverse (311605), we get a palindrome (817718).

The spelling of 506113 in words is "five hundred six thousand, one hundred thirteen".