1005110505 has 32 divisors (see below), whose sum is σ = 2042131200. Its totient is φ = 459478656.

The previous prime is 1005110461. The next prime is 1005110563. The reversal of 1005110505 is 5050115001.

1005110505 is a `hidden beast` number, since 100 + 51 + 10 + 505 = 666.

It is not a de Polignac number, because 1005110505 - 2²⁶ = 938001641 is a prime.

It is a super-2 number, since 2×1005110505² = 2020494254522710050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 530860 + ... + 532749.

It is an arithmetic number, because the mean of its divisors is an integer number (63816600).

Almost surely, 2^1005110505 is an apocalyptic number.

1005110505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005110505 is an abundant number, since it is smaller than the sum of its proper divisors (1037020695).

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

1005110505 is a wasteful number, since it uses less digits than its factorization.

1005110505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063630 (or 1063624 counting only the distinct ones).

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

The square root of 1005110505 is about 31703.4778060704. The cubic root of 1005110505 is about 1001.7006079598.

Adding to 1005110505 its reverse (5050115001), we get a palindrome (6055225506).

The spelling of 1005110505 in words is "one billion, five million, one hundred ten thousand, five hundred five".