27505303330113 has 24 divisors (see below), whose sum is σ = 45406210082688. Its totient is φ = 15717098117952.

The previous prime is 27505303330111. The next prime is 27505303330117. The reversal of 27505303330113 is 31103330350572.

27505303330113 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 5 + 303 + 330 + 1 + 13 = 666.

It is not a de Polignac number, because 27505303330113 - 2¹ = 27505303330111 is a prime.

It is a super-2 number, since 2×27505303330113² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27505303330111) 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 23 ways as a sum of consecutive naturals, for example, 1603756 + ... + 7588322.

It is an arithmetic number, because the mean of its divisors is an integer number (1891925420112).

Almost surely, 2^{27505303330113} is an apocalyptic number.

It is an amenable number.

27505303330113 is a deficient number, since it is larger than the sum of its proper divisors (17900906752575).

27505303330113 is a wasteful number, since it uses less digits than its factorization.

27505303330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057533 (or 6057530 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

Adding to 27505303330113 its reverse (31103330350572), we get a palindrome (58608633680685).

The spelling of 27505303330113 in words is "twenty-seven trillion, five hundred five billion, three hundred three million, three hundred thirty thousand, one hundred thirteen".