1006655005617 has 16 divisors (see below), whose sum is σ = 1388516543040. Its totient is φ = 647949298752.

The previous prime is 1006655005589. The next prime is 1006655005651. The reversal of 1006655005617 is 7165005566001.

It is not a de Polignac number, because 1006655005617 - 2¹¹ = 1006655003569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006655005667) 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, 6958263 + ... + 7101459.

It is an arithmetic number, because the mean of its divisors is an integer number (86782283940).

Almost surely, 2^{1006655005617} is an apocalyptic number.

It is an amenable number.

1006655005617 is a deficient number, since it is larger than the sum of its proper divisors (381861537423).

1006655005617 is a wasteful number, since it uses less digits than its factorization.

1006655005617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224032.

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 1006655005617 in words is "one trillion, six billion, six hundred fifty-five million, five thousand, six hundred seventeen".