1006511160114 has 24 divisors (see below), whose sum is σ = 2182425082812. Its totient is φ = 335249735040.

The previous prime is 1006511160079. The next prime is 1006511160119. The reversal of 1006511160114 is 4110611156001.

1006511160114 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 51 + 1 + 1 + 601 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 988201010889 + 18310149225 = 994083^2 + 135315^2 .

It is not an unprimeable number, because it can be changed into a prime (1006511160119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21140979 + ... + 21188534.

Almost surely, 2^{1006511160114} is an apocalyptic number.

1006511160114 is an abundant number, since it is smaller than the sum of its proper divisors (1175913922698).

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

1006511160114 is a wasteful number, since it uses less digits than its factorization.

1006511160114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42330842 (or 42330839 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1006511160114 in words is "one trillion, six billion, five hundred eleven million, one hundred sixty thousand, one hundred fourteen".