1006505605616 has 40 divisors (see below), whose sum is σ = 2235950640000. Its totient is φ = 429954450624.

The previous prime is 1006505605607. The next prime is 1006505605663. The reversal of 1006505605616 is 6165065056001.

1006505605616 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14601866 + ... + 14670633.

It is an arithmetic number, because the mean of its divisors is an integer number (55898766000).

Almost surely, 2^{1006505605616} is an apocalyptic number.

1006505605616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006505605616 is an abundant number, since it is smaller than the sum of its proper divisors (1229445034384).

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

1006505605616 is a wasteful number, since it uses less digits than its factorization.

1006505605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272821 (or 29272815 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 1006505605616 in words is "one trillion, six billion, five hundred five million, six hundred five thousand, six hundred sixteen".