505006061105 has 72 divisors (see below), whose sum is σ = 763842352824. Its totient is φ = 319444070400.

The previous prime is 505006061083. The next prime is 505006061167. The reversal of 505006061105 is 501160600505.

It can be written as a sum of positive squares in 12 ways, for example, as 329146606369 + 175859454736 = 573713^2 + 419356^2 .

It is not a de Polignac number, because 505006061105 - 2¹⁰ = 505006060081 is a prime.

It is a super-2 number, since 2×505006061105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86160875 + ... + 86166735.

It is an arithmetic number, because the mean of its divisors is an integer number (10608921567).

Almost surely, 2^505006061105 is an apocalyptic number.

It is an amenable number.

505006061105 is a deficient number, since it is larger than the sum of its proper divisors (258836291719).

505006061105 is a wasteful number, since it uses less digits than its factorization.

505006061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 505006061105 in words is "five hundred five billion, six million, sixty-one thousand, one hundred five".