1006001001 has 12 divisors (see below), whose sum is σ = 1463721012. Its totient is φ = 665771136.

The previous prime is 1006000997. The next prime is 1006001021. The reversal of 1006001001 is 1001006001.

It can be written as a sum of positive squares in 2 ways, for example, as 838971225 + 167029776 = 28965^2 + 12924^2 .

It is not a de Polignac number, because 1006001001 - 2² = 1006000997 is a prime.

It is a super-3 number, since 3×1006001001³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1006001021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406716 + ... + 409181.

It is an arithmetic number, because the mean of its divisors is an integer number (121976751).

Almost surely, 2^1006001001 is an apocalyptic number.

It is an amenable number.

1006001001 is a deficient number, since it is larger than the sum of its proper divisors (457720011).

1006001001 is a wasteful number, since it uses less digits than its factorization.

1006001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816040 (or 816037 counting only the distinct ones).

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

The square root of 1006001001 is about 31717.5188342342. The cubic root of 1006001001 is about 1001.9963456188.

Adding to 1006001001 its reverse (1001006001), we get a palindrome (2007007002).

The spelling of 1006001001 in words is "one billion, six million, one thousand, one".