127172056753 has 24 divisors (see below), whose sum is σ = 149354284200. Its totient is φ = 107959557888.

The previous prime is 127172056691. The next prime is 127172056769. The reversal of 127172056753 is 357650271721.

It can be written as a sum of positive squares in 4 ways, for example, as 8734210849 + 118437845904 = 93457^2 + 344148^2 .

It is a de Polignac number, because none of the positive numbers 2^k-127172056753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127172056783) 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, 21665503 + ... + 21671371.

It is an arithmetic number, because the mean of its divisors is an integer number (6223095175).

Almost surely, 2^127172056753 is an apocalyptic number.

It is an amenable number.

127172056753 is a deficient number, since it is larger than the sum of its proper divisors (22182227447).

127172056753 is a wasteful number, since it uses less digits than its factorization.

127172056753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 127172056753 in words is "one hundred twenty-seven billion, one hundred seventy-two million, fifty-six thousand, seven hundred fifty-three".