1005506011 has 8 divisors (see below), whose sum is σ = 1059729920. Its totient is φ = 951412392.

The previous prime is 1005505997. The next prime is 1005506041. The reversal of 1005506011 is 1106055001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005506011 - 2¹⁵ = 1005473243 is a prime.

It is a super-2 number, since 2×1005506011² = 2022084676314264242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005506011.

It is not an unprimeable number, because it can be changed into a prime (1005506041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16515 + ... + 47788.

It is an arithmetic number, because the mean of its divisors is an integer number (132466240).

Almost surely, 2^1005506011 is an apocalyptic number.

1005506011 is a deficient number, since it is larger than the sum of its proper divisors (54223909).

1005506011 is an equidigital number, since it uses as much as digits as its factorization.

1005506011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65145.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 1005506011 is about 31709.7147732363. The cubic root of 1005506011 is about 1001.8319788042.

The spelling of 1005506011 in words is "one billion, five million, five hundred six thousand, eleven".