1006810045 has 12 divisors (see below), whose sum is σ = 1220812884. Its totient is φ = 797107200.

The previous prime is 1006810031. The next prime is 1006810109. The reversal of 1006810045 is 5400186001.

It can be written as a sum of positive squares in 6 ways, for example, as 74545956 + 932264089 = 8634^2 + 30533^2 .

It is not a de Polignac number, because 1006810045 - 2⁷ = 1006809917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36345 + ... + 57745.

It is an arithmetic number, because the mean of its divisors is an integer number (101734407).

Almost surely, 2^1006810045 is an apocalyptic number.

It is an amenable number.

1006810045 is a deficient number, since it is larger than the sum of its proper divisors (214002839).

1006810045 is an frugal number, since it uses more digits than its factorization.

1006810045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1006810045 is about 31730.2701690357. The cubic root of 1006810045 is about 1002.2648814394.

Adding to 1006810045 its reverse (5400186001), we get a palindrome (6406996046).

The spelling of 1006810045 in words is "one billion, six million, eight hundred ten thousand, forty-five".