30481959976209 has 81 divisors (see below), whose sum is σ = 51454996416603. Its totient is φ = 17338030988544.

The previous prime is 30481959976187. The next prime is 30481959976229. The reversal of 30481959976209 is 90267995918403.

The square root of 30481959976209 is 5521047.

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

30481959976209 is a `hidden beast` number, since 3 + 0 + 4 + 8 + 1 + 9 + 599 + 7 + 6 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 587747622609 + 29894212353600 = 766647^2 + 5467560^2 .

It is not a de Polignac number, because 30481959976209 - 2⁵ = 30481959976177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30481959976229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32811581857 + ... + 32811582785.

It is a 1-persistent number, because it is pandigital, but 2⋅30481959976209 = 60963919952418 is not.

Almost surely, 2^{30481959976209} is an apocalyptic number.

30481959976209 is the 5521047-th square number.

30481959976209 is the 2760524-th centered octagonal number.

It is an amenable number.

30481959976209 is a deficient number, since it is larger than the sum of its proper divisors (20973036440394).

30481959976209 is an frugal number, since it uses more digits than its factorization.

30481959976209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 30481959976209 in words is "thirty trillion, four hundred eighty-one billion, nine hundred fifty-nine million, nine hundred seventy-six thousand, two hundred nine".