127499575648041 has 15 divisors (see below), whose sum is σ = 190462480863501. Its totient is φ = 84999649349268.

The previous prime is 127499575648013. The next prime is 127499575648051. The reversal of 127499575648041 is 140846575994721.

It is a happy number.

The square root of 127499575648041 is 11291571.

It is a perfect power (a square), and thus also a powerful number.

127499575648041 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 9 + 9 + 57 + 56 + 480 + 41 = 666.

It is not a de Polignac number, because 127499575648041 - 2³³ = 127490985713449 is a prime.

It is a super-2 number, since 2×127499575648041² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127499575648051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 100996830 + ... + 102251448.

Almost surely, 2^{127499575648041} is an apocalyptic number.

127499575648041 is the 11291571-st square number.

127499575648041 is the 5645786-th centered octagonal number.

It is an amenable number.

127499575648041 is a deficient number, since it is larger than the sum of its proper divisors (62962905215460).

127499575648041 is an frugal number, since it uses more digits than its factorization.

127499575648041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509250 (or 1254622 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 127499575648041 in words is "one hundred twenty-seven trillion, four hundred ninety-nine billion, five hundred seventy-five million, six hundred forty-eight thousand, forty-one".