505001105 has 24 divisors (see below), whose sum is σ = 708097320. Its totient is φ = 344736000.

The previous prime is 505001093. The next prime is 505001113. The reversal of 505001105 is 501100505.

It can be written as a sum of positive squares in 4 ways, for example, as 79156609 + 425844496 = 8897^2 + 20636^2 .

It is not a de Polignac number, because 505001105 - 2⁴ = 505001089 is a prime.

It is a super-2 number, since 2×505001105² = 510052232102442050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51605 + ... + 60605.

It is an arithmetic number, because the mean of its divisors is an integer number (29504055).

Almost surely, 2^505001105 is an apocalyptic number.

It is an amenable number.

505001105 is a deficient number, since it is larger than the sum of its proper divisors (203096215).

505001105 is a wasteful number, since it uses less digits than its factorization.

505001105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 505001105 is about 22472.2296401581. The cubic root of 505001105 is about 796.3380050055.

The spelling of 505001105 in words is "five hundred five million, one thousand, one hundred five".