30516416289 has 12 divisors (see below), whose sum is σ = 44153608356. Its totient is φ = 20309966592.

The previous prime is 30516416269. The next prime is 30516416303. The reversal of 30516416289 is 98261461503.

30516416289 is a `hidden beast` number, since 3 + 0 + 5 + 16 + 4 + 1 + 628 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8496230625 + 22020185664 = 92175^2 + 148392^2 .

It is not a de Polignac number, because 30516416289 - 2¹² = 30516412193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30516416239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2853612 + ... + 2864285.

It is an arithmetic number, because the mean of its divisors is an integer number (3679467363).

Almost surely, 2^30516416289 is an apocalyptic number.

It is an amenable number.

30516416289 is a deficient number, since it is larger than the sum of its proper divisors (13637192067).

30516416289 is a wasteful number, since it uses less digits than its factorization.

30516416289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718496 (or 5718493 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 30516416289 in words is "thirty billion, five hundred sixteen million, four hundred sixteen thousand, two hundred eighty-nine".