127545677613 has 24 divisors (see below), whose sum is σ = 186486736800. Its totient is φ = 83990481120.

The previous prime is 127545677593. The next prime is 127545677627. The reversal of 127545677613 is 316776545721.

127545677613 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 4 + 567 + 76 + 1 + 3 = 666.

It is not a de Polignac number, because 127545677613 - 2⁹ = 127545677101 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127545677613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127545677213) 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, 5178618 + ... + 5203188.

It is an arithmetic number, because the mean of its divisors is an integer number (7770280700).

Almost surely, 2^127545677613 is an apocalyptic number.

It is an amenable number.

127545677613 is a deficient number, since it is larger than the sum of its proper divisors (58941059187).

127545677613 is a wasteful number, since it uses less digits than its factorization.

127545677613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31609 (or 31606 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 127545677613 in words is "one hundred twenty-seven billion, five hundred forty-five million, six hundred seventy-seven thousand, six hundred thirteen".