27673615313 has 16 divisors (see below), whose sum is σ = 29471922960. Its totient is φ = 25935033600.

The previous prime is 27673615301. The next prime is 27673615357. The reversal of 27673615313 is 31351637672.

It can be written as a sum of positive squares in 8 ways, for example, as 2165692369 + 25507922944 = 46537^2 + 159712^2 .

It is a cyclic number.

It is not a de Polignac number, because 27673615313 - 2²⁰ = 27672566737 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27673615913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421103 + ... + 482363.

It is an arithmetic number, because the mean of its divisors is an integer number (1841995185).

Almost surely, 2^27673615313 is an apocalyptic number.

It is an amenable number.

27673615313 is a deficient number, since it is larger than the sum of its proper divisors (1798307647).

27673615313 is a wasteful number, since it uses less digits than its factorization.

27673615313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61748.

The product of its digits is 476280, while the sum is 44.

The spelling of 27673615313 in words is "twenty-seven billion, six hundred seventy-three million, six hundred fifteen thousand, three hundred thirteen".