27228581606313 has 20 divisors (see below), whose sum is σ = 40971691073940. Its totient is φ = 18019888549632.

The previous prime is 27228581606221. The next prime is 27228581606321. The reversal of 27228581606313 is 31360618582272.

27228581606313 is a `hidden beast` number, since 2 + 7 + 2 + 28 + 5 + 8 + 1 + 606 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10368992488464 + 16859589117849 = 3220092^2 + 4106043^2 .

It is not a de Polignac number, because 27228581606313 - 2¹⁴ = 27228581589929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27228581606313.

It is not an unprimeable number, because it can be changed into a prime (27228581606363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1226833168 + ... + 1226855361.

It is an arithmetic number, because the mean of its divisors is an integer number (2048584553697).

Almost surely, 2^{27228581606313} is an apocalyptic number.

It is an amenable number.

27228581606313 is a deficient number, since it is larger than the sum of its proper divisors (13743109467627).

27228581606313 is a wasteful number, since it uses less digits than its factorization.

27228581606313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453688678 (or 2453688669 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27228581606313 in words is "twenty-seven trillion, two hundred twenty-eight billion, five hundred eighty-one million, six hundred six thousand, three hundred thirteen".