9831366521001 has 15 divisors (see below), whose sum is σ = 14686404489031. Its totient is φ = 6554225534328.

The previous prime is 9831366520991. The next prime is 9831366521029. The reversal of 9831366521001 is 1001256631389.

The square root of 9831366521001 is 3135501.

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

9831366521001 is a `hidden beast` number, since 98 + 3 + 1 + 36 + 6 + 521 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9798771829401 + 32594691600 = 3130299^2 + 180540^2 .

It is not a de Polignac number, because 9831366521001 - 2¹⁹ = 9831365996713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9831366522001) 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, 28045315 + ... + 28393703.

Almost surely, 2^{9831366521001} is an apocalyptic number.

9831366521001 is the 3135501-st square number.

9831366521001 is the 1567751-st centered octagonal number.

It is an amenable number.

9831366521001 is a deficient number, since it is larger than the sum of its proper divisors (4855037968030).

9831366521001 is an frugal number, since it uses more digits than its factorization.

9831366521001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696790 (or 348392 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9831366521001 in words is "nine trillion, eight hundred thirty-one billion, three hundred sixty-six million, five hundred twenty-one thousand, one".