505306113 has 48 divisors (see below), whose sum is σ = 806371200. Its totient is φ = 279831552.

The previous prime is 505306103. The next prime is 505306157. The reversal of 505306113 is 311603505.

It is not a de Polignac number, because 505306113 - 2¹³ = 505297921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505306103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196963 + ... + 199511.

It is an arithmetic number, because the mean of its divisors is an integer number (16799400).

Almost surely, 2^505306113 is an apocalyptic number.

It is an amenable number.

505306113 is a deficient number, since it is larger than the sum of its proper divisors (301065087).

505306113 is a wasteful number, since it uses less digits than its factorization.

505306113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 505306113 is about 22479.0149472792. The cubic root of 505306113 is about 796.4982954659.

Adding to 505306113 its reverse (311603505), we get a palindrome (816909618).

The spelling of 505306113 in words is "five hundred five million, three hundred six thousand, one hundred thirteen".