1006150006116 has 18 divisors (see below), whose sum is σ = 2543323626662. Its totient is φ = 335383335360.

The previous prime is 1006150006049. The next prime is 1006150006123. The reversal of 1006150006116 is 6116000516001.

1006150006116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 649884271716 + 356265734400 = 806154^2 + 596880^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1006150006116.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13974305605 + ... + 13974305676.

Almost surely, 2^{1006150006116} is an apocalyptic number.

It is an amenable number.

1006150006116 is an abundant number, since it is smaller than the sum of its proper divisors (1537173620546).

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

1006150006116 is a wasteful number, since it uses less digits than its factorization.

1006150006116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27948611291 (or 27948611286 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1006150006116 in words is "one trillion, six billion, one hundred fifty million, six thousand, one hundred sixteen".