127613677521 has 32 divisors (see below), whose sum is σ = 198906720768. Its totient is φ = 71915075840.

The previous prime is 127613677493. The next prime is 127613677547. The reversal of 127613677521 is 125776316721.

It is a cyclic number.

It is not a de Polignac number, because 127613677521 - 2¹⁴ = 127613661137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127613677421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323771 + ... + 1416896.

It is an arithmetic number, because the mean of its divisors is an integer number (6215835024).

Almost surely, 2^127613677521 is an apocalyptic number.

127613677521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127613677521 is a deficient number, since it is larger than the sum of its proper divisors (71293043247).

127613677521 is a wasteful number, since it uses less digits than its factorization.

127613677521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740781.

The product of its digits is 740880, while the sum is 48.

The spelling of 127613677521 in words is "one hundred twenty-seven billion, six hundred thirteen million, six hundred seventy-seven thousand, five hundred twenty-one".