1001007006 has 16 divisors (see below), whose sum is σ = 2002404864. Its totient is φ = 333603864.

The previous prime is 1001006977. The next prime is 1001007013. The reversal of 1001007006 is 6007001001.

It is a super-2 number, since 2×1001007006² = 2004030052122168072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25101 + ... + 51303.

It is an arithmetic number, because the mean of its divisors is an integer number (125150304).

Almost surely, 2^1001007006 is an apocalyptic number.

1001007006 is an abundant number, since it is smaller than the sum of its proper divisors (1001397858).

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

1001007006 is a wasteful number, since it uses less digits than its factorization.

1001007006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32575.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1001007006 is about 31638.6947581597. The cubic root of 1001007006 is about 1000.3355560562.

Adding to 1001007006 its reverse (6007001001), we get a palindrome (7008008007).

The spelling of 1001007006 in words is "one billion, one million, seven thousand, six".