127905761313 has 20 divisors (see below), whose sum is σ = 208439019888. Its totient is φ = 77518642680.

The previous prime is 127905761237. The next prime is 127905761317. The reversal of 127905761313 is 313167509721.

127905761313 is a `hidden beast` number, since 1 + 2 + 79 + 0 + 576 + 1 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 127905761313 - 2¹⁰ = 127905760289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127905761317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71775631 + ... + 71777412.

Almost surely, 2^127905761313 is an apocalyptic number.

It is an amenable number.

127905761313 is a deficient number, since it is larger than the sum of its proper divisors (80533258575).

127905761313 is a wasteful number, since it uses less digits than its factorization.

127905761313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143553066 (or 143553057 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 127905761313 in words is "one hundred twenty-seven billion, nine hundred five million, seven hundred sixty-one thousand, three hundred thirteen".