1006006501001 has 16 divisors (see below), whose sum is σ = 1121488204800. Its totient is φ = 898015135248.

The previous prime is 1006006500997. The next prime is 1006006501013. The reversal of 1006006501001 is 1001056006001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1006006501001 - 2² = 1006006500997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006006501021) 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, 17150381 + ... + 17208938.

It is an arithmetic number, because the mean of its divisors is an integer number (70093012800).

Almost surely, 2^{1006006501001} is an apocalyptic number.

It is an amenable number.

1006006501001 is a deficient number, since it is larger than the sum of its proper divisors (115481703799).

1006006501001 is a wasteful number, since it uses less digits than its factorization.

1006006501001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34359428.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1006006501001 in words is "one trillion, six billion, six million, five hundred one thousand, one".