1005055610006 has 32 divisors (see below), whose sum is σ = 1724426661888. Its totient is φ = 430369758720.

The previous prime is 1005055610003. The next prime is 1005055610017. The reversal of 1005055610006 is 6000165505001.

1005055610006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005055610003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97544651 + ... + 97554953.

It is an arithmetic number, because the mean of its divisors is an integer number (53888333184).

Almost surely, 2^{1005055610006} is an apocalyptic number.

1005055610006 is a deficient number, since it is larger than the sum of its proper divisors (719371051882).

1005055610006 is a wasteful number, since it uses less digits than its factorization.

1005055610006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15596.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1005055610006 in words is "one trillion, five billion, fifty-five million, six hundred ten thousand, six".