1011005506006 has 32 divisors (see below), whose sum is σ = 1629972966240. Its totient is φ = 468582191616.

The previous prime is 1011005505977. The next prime is 1011005506019. The reversal of 1011005506006 is 6006055001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13697256 + ... + 13770868.

It is an arithmetic number, because the mean of its divisors is an integer number (50936655195).

Almost surely, 2^{1011005506006} is an apocalyptic number.

1011005506006 is a deficient number, since it is larger than the sum of its proper divisors (618967460234).

1011005506006 is a wasteful number, since it uses less digits than its factorization.

1011005506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79728.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1011005506006 in words is "one trillion, eleven billion, five million, five hundred six thousand, six".