1006117011 has 16 divisors (see below), whose sum is σ = 1499694720. Its totient is φ = 666626760.

The previous prime is 1006117009. The next prime is 1006117019. The reversal of 1006117011 is 1107116001.

1006117011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006117011 - 2¹ = 1006117009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006117019) 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, 109905 + ... + 118706.

It is an arithmetic number, because the mean of its divisors is an integer number (93730920).

Almost surely, 2^1006117011 is an apocalyptic number.

1006117011 is a deficient number, since it is larger than the sum of its proper divisors (493577709).

1006117011 is a wasteful number, since it uses less digits than its factorization.

1006117011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228783 (or 228777 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 1006117011 is about 31719.3475815629. The cubic root of 1006117011 is about 1002.0348602021.

It can be divided in two parts, 10061 and 17011, that added together give a palindrome (27072).

The spelling of 1006117011 in words is "one billion, six million, one hundred seventeen thousand, eleven".