9407820125089 has 9 divisors (see below), whose sum is σ = 9435632600793. Its totient is φ = 9380089416192.

The previous prime is 9407820125023. The next prime is 9407820125113. The reversal of 9407820125089 is 9805210287049.

The square root of 9407820125089 is 3067217.

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

9407820125089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1216730333025 + 8191089792064 = 1103055^2 + 2862008^2 .

It is not a de Polignac number, because 9407820125089 - 2¹⁷ = 9407819994017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9407820185089) 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, 1082723257 + ... + 1082731945.

Almost surely, 2^{9407820125089} is an apocalyptic number.

9407820125089 is the 3067217-th square number.

9407820125089 is the 1533609-th centered octagonal number.

It is an amenable number.

9407820125089 is a deficient number, since it is larger than the sum of its proper divisors (27812475704).

9407820125089 is an frugal number, since it uses more digits than its factorization.

9407820125089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 9407820125089 in words is "nine trillion, four hundred seven billion, eight hundred twenty million, one hundred twenty-five thousand, eighty-nine".