9180906060001 has 15 divisors (see below), whose sum is σ = 9946509549711. Its totient is φ = 8474209836768.

The previous prime is 9180906059989. The next prime is 9180906060083. The reversal of 9180906060001 is 1000606090819.

The square root of 9180906060001 is 3030001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9151828989601 + 29077070400 = 3025199^2 + 170520^2 .

It is not a de Polignac number, because 9180906060001 - 2⁷ = 9180906059873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9180906060701) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 512061205 + ... + 512079133.

Almost surely, 2^{9180906060001} is an apocalyptic number.

9180906060001 is the 3030001-st square number.

9180906060001 is the 1515001-st centered octagonal number.

It is an amenable number.

9180906060001 is a deficient number, since it is larger than the sum of its proper divisors (765603489710).

9180906060001 is an frugal number, since it uses more digits than its factorization.

9180906060001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35910 (or 17942 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 9180906060001 in words is "nine trillion, one hundred eighty billion, nine hundred six million, sixty thousand, one".