1005506106018 has 16 divisors (see below), whose sum is σ = 2016491813760. Its totient is φ = 334255435056.

The previous prime is 1005506105999. The next prime is 1005506106061. The reversal of 1005506106018 is 8106016055001.

It is a super-2 number, since 2×1005506106018² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005506106018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228314353 + ... + 228318756.

It is an arithmetic number, because the mean of its divisors is an integer number (126030738360).

Almost surely, 2^{1005506106018} is an apocalyptic number.

1005506106018 is an abundant number, since it is smaller than the sum of its proper divisors (1010985707742).

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

1005506106018 is a wasteful number, since it uses less digits than its factorization.

1005506106018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456633481.

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 1005506106018 in words is "one trillion, five billion, five hundred six million, one hundred six thousand, eighteen".