27306561321 has 40 divisors (see below), whose sum is σ = 46513167624. Its totient is φ = 15815554560.

The previous prime is 27306561319. The next prime is 27306561329. The reversal of 27306561321 is 12316560372.

27306561321 is a `hidden beast` number, since 2 + 7 + 30 + 6 + 5 + 613 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12048135696 + 15258425625 = 109764^2 + 123525^2 .

It is not a de Polignac number, because 27306561321 - 2¹ = 27306561319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27306561329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 744810 + ... + 780611.

Almost surely, 2^27306561321 is an apocalyptic number.

It is an amenable number.

27306561321 is a deficient number, since it is larger than the sum of its proper divisors (19206606303).

27306561321 is a wasteful number, since it uses less digits than its factorization.

27306561321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525463 (or 1525454 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 27306561321 in words is "twenty-seven billion, three hundred six million, five hundred sixty-one thousand, three hundred twenty-one".