127357312041 has 8 divisors (see below), whose sum is σ = 188677499360. Its totient is φ = 84904874676.

The previous prime is 127357312009. The next prime is 127357312073. The reversal of 127357312041 is 140213753721.

127357312041 is a `hidden beast` number, since 1 + 2 + 73 + 573 + 12 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (127357312009) and next prime (127357312073).

It is not a de Polignac number, because 127357312041 - 2⁵ = 127357312009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127357311987 and 127357312005.

It is not an unprimeable number, because it can be changed into a prime (127357312141) 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 7 ways as a sum of consecutive naturals, for example, 2358468715 + ... + 2358468768.

It is an arithmetic number, because the mean of its divisors is an integer number (23584687420).

Almost surely, 2^127357312041 is an apocalyptic number.

It is an amenable number.

127357312041 is a deficient number, since it is larger than the sum of its proper divisors (61320187319).

127357312041 is an equidigital number, since it uses as much as digits as its factorization.

127357312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716937492 (or 4716937486 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 127357312041 in words is "one hundred twenty-seven billion, three hundred fifty-seven million, three hundred twelve thousand, forty-one".