505111005 has 64 divisors (see below), whose sum is σ = 1029726720. Its totient is φ = 230128128.

The previous prime is 505111003. The next prime is 505111007. The reversal of 505111005 is 500111505.

505111005 is a `hidden beast` number, since 50 + 511 + 100 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (505111003) and next prime (505111007).

It is not a de Polignac number, because 505111005 - 2¹ = 505111003 is a prime.

It is a super-2 number, since 2×505111005² = 510274254744220050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351769 + ... + 353201.

It is an arithmetic number, because the mean of its divisors is an integer number (16089480).

Almost surely, 2^505111005 is an apocalyptic number.

It is an amenable number.

505111005 is an abundant number, since it is smaller than the sum of its proper divisors (524615715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505111005 is a wasteful number, since it uses less digits than its factorization.

505111005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 505111005 is about 22474.6747473684. The cubic root of 505111005 is about 796.3957680467.

The spelling of 505111005 in words is "five hundred five million, one hundred eleven thousand, five".