1006000011 has 24 divisors (see below), whose sum is σ = 1534653120. Its totient is φ = 633265776.

The previous prime is 1006000001. The next prime is 1006000043. The reversal of 1006000011 is 1100006001.

It is not a de Polignac number, because 1006000011 - 2⁶ = 1005999947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1005999957 and 1006000002.

It is not an unprimeable number, because it can be changed into a prime (1006000001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42916 + ... + 62078.

It is an arithmetic number, because the mean of its divisors is an integer number (63943880).

Almost surely, 2^1006000011 is an apocalyptic number.

1006000011 is a deficient number, since it is larger than the sum of its proper divisors (528653109).

1006000011 is a wasteful number, since it uses less digits than its factorization.

1006000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1006000011 is about 31717.5032277132. The cubic root of 1006000011 is about 1001.9960169323.

Adding to 1006000011 its reverse (1100006001), we get a palindrome (2106006012).

The spelling of 1006000011 in words is "one billion, six million, eleven", and thus it is an aban number and an uban number.