1006511665516 has 24 divisors (see below), whose sum is σ = 2013095780640. Its totient is φ = 431346617472.

The previous prime is 1006511665513. The next prime is 1006511665547. The reversal of 1006511665516 is 6155661156001.

It is not an unprimeable number, because it can be changed into a prime (1006511665513) by changing a digit.

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, 162786 + ... + 1428118.

It is an arithmetic number, because the mean of its divisors is an integer number (83878990860).

Almost surely, 2^{1006511665516} is an apocalyptic number.

It is an amenable number.

1006511665516 is an abundant number, since it is smaller than the sum of its proper divisors (1006584115124).

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

1006511665516 is a wasteful number, since it uses less digits than its factorization.

1006511665516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293753 (or 1293751 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 1006511665516 in words is "one trillion, six billion, five hundred eleven million, six hundred sixty-five thousand, five hundred sixteen".