30585075138 has 18 divisors (see below), whose sum is σ = 66269270457. Its totient is φ = 10194777720.

The previous prime is 30585075133. The next prime is 30585075149. The reversal of 30585075138 is 83157058503.

30585075138 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 507 + 5 + 138 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26554983849 + 4030091289 = 162957^2 + 63483^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=123663.

It is a junction number, because it is equal to n+sod(n) for n = 30585075093 and 30585075102.

It is not an unprimeable number, because it can be changed into a prime (30585075133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 721368 + ... + 762588.

Almost surely, 2^30585075138 is an apocalyptic number.

30585075138 is an abundant number, since it is smaller than the sum of its proper divisors (35684195319).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30585075138 is an frugal number, since it uses more digits than its factorization.

30585075138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82450 (or 41226 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 30585075138 in words is "thirty billion, five hundred eighty-five million, seventy-five thousand, one hundred thirty-eight".