505363111121 has 16 divisors (see below), whose sum is σ = 555391399680. Its totient is φ = 456016606080.

The previous prime is 505363111109. The next prime is 505363111129. The reversal of 505363111121 is 121111363505.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505363111121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505363111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22242515 + ... + 22265223.

It is an arithmetic number, because the mean of its divisors is an integer number (34711962480).

Almost surely, 2^505363111121 is an apocalyptic number.

It is an amenable number.

505363111121 is a deficient number, since it is larger than the sum of its proper divisors (50028288559).

505363111121 is a wasteful number, since it uses less digits than its factorization.

505363111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624.

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 505363111121 its reverse (121111363505), we get a palindrome (626474474626).

The spelling of 505363111121 in words is "five hundred five billion, three hundred sixty-three million, one hundred eleven thousand, one hundred twenty-one".