1006005505011 has 8 divisors (see below), whose sum is σ = 1444520725200. Its totient is φ = 619080310752.

The previous prime is 1006005504991. The next prime is 1006005505031. The reversal of 1006005505011 is 1105055006001.

It is an interprime number because it is at equal distance from previous prime (1006005504991) and next prime (1006005505031).

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

It is not a de Polignac number, because 1006005505011 - 2⁶ = 1006005504947 is a prime.

It is a super-2 number, since 2×1006005505011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006005505031) 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, 12897506436 + ... + 12897506513.

It is an arithmetic number, because the mean of its divisors is an integer number (180565090650).

Almost surely, 2^{1006005505011} is an apocalyptic number.

1006005505011 is a deficient number, since it is larger than the sum of its proper divisors (438515220189).

1006005505011 is a wasteful number, since it uses less digits than its factorization.

1006005505011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795012965.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1006005505011 in words is "one trillion, six billion, five million, five hundred five thousand, eleven".