1006818201 has 16 divisors (see below), whose sum is σ = 1543017600. Its totient is φ = 648066384.

The previous prime is 1006818173. The next prime is 1006818209. The reversal of 1006818201 is 1028186001.

It is not a de Polignac number, because 1006818201 - 2⁷ = 1006818073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006818209) 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, 642141 + ... + 643706.

It is an arithmetic number, because the mean of its divisors is an integer number (96438600).

Almost surely, 2^1006818201 is an apocalyptic number.

It is an amenable number.

1006818201 is a deficient number, since it is larger than the sum of its proper divisors (536199399).

1006818201 is a wasteful number, since it uses less digits than its factorization.

1006818201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285885 (or 1285879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1006818201 is about 31730.3986895847. The cubic root of 1006818201 is about 1002.2675878255.

The spelling of 1006818201 in words is "one billion, six million, eight hundred eighteen thousand, two hundred one".