127613968053 has 96 divisors (see below), whose sum is σ = 209678647680. Its totient is φ = 68920051200.

The previous prime is 127613968033. The next prime is 127613968061. The reversal of 127613968053 is 350869316721.

It is not a de Polignac number, because 127613968053 - 2⁸ = 127613967797 is a prime.

It is a super-2 number, since 2×127613968053² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127613967987 and 127613968005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127613968033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19566433 + ... + 19572953.

It is an arithmetic number, because the mean of its divisors is an integer number (2184152580).

Almost surely, 2^127613968053 is an apocalyptic number.

127613968053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127613968053 is a deficient number, since it is larger than the sum of its proper divisors (82064679627).

127613968053 is a wasteful number, since it uses less digits than its factorization.

127613968053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 127613968053 in words is "one hundred twenty-seven billion, six hundred thirteen million, nine hundred sixty-eight thousand, fifty-three".