1005605610006 has 16 divisors (see below), whose sum is σ = 2011263663024. Its totient is φ = 335193129504.

The previous prime is 1005605610001. The next prime is 1005605610019. The reversal of 1005605610006 is 6000165065001.

It is a super-2 number, since 2×1005605610006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605610001) 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, 1933621 + ... + 2397936.

It is an arithmetic number, because the mean of its divisors is an integer number (125703978939).

Almost surely, 2^{1005605610006} is an apocalyptic number.

1005605610006 is an abundant number, since it is smaller than the sum of its proper divisors (1005658053018).

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

1005605610006 is a wasteful number, since it uses less digits than its factorization.

1005605610006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370255.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1005605610006 in words is "one trillion, five billion, six hundred five million, six hundred ten thousand, six".