9285117028201 has 9 divisors (see below), whose sum is σ = 10801079314749. Its totient is φ = 7958653455564.

The previous prime is 9285117028177. The next prime is 9285117028241. The reversal of 9285117028201 is 1028207115829.

The square root of 9285117028201 is 3047149.

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

It is not a de Polignac number, because 9285117028201 - 2¹⁷ = 9285116897129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9285117028241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21112390 + ... + 21547696.

It is an arithmetic number, because the mean of its divisors is an integer number (1200119923861).

Almost surely, 2^{9285117028201} is an apocalyptic number.

9285117028201 is the 3047149-th square number.

9285117028201 is the 1523575-th centered octagonal number.

It is an amenable number.

9285117028201 is a deficient number, since it is larger than the sum of its proper divisors (1515962286548).

9285117028201 is an frugal number, since it uses more digits than its factorization.

9285117028201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870628 (or 435314 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 9285117028201 in words is "nine trillion, two hundred eighty-five billion, one hundred seventeen million, twenty-eight thousand, two hundred one".