1006996001 has 8 divisors (see below), whose sum is σ = 1107621408. Its totient is φ = 915449700.

The previous prime is 1006995989. The next prime is 1006996007.

It is a happy number.

1006996001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1006996001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006996007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376955 + ... + 379616.

It is an arithmetic number, because the mean of its divisors is an integer number (138452676).

Almost surely, 2^1006996001 is an apocalyptic number.

1006996001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006996001 is a deficient number, since it is larger than the sum of its proper divisors (100625407).

1006996001 is an frugal number, since it uses more digits than its factorization.

1006996001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756604 (or 756582 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 1006996001 is about 31733.2002955895. The cubic root of 1006996001 is about 1002.3265831463.

The spelling of 1006996001 in words is "one billion, six million, nine hundred ninety-six thousand, one".