127538281728007 has 2 divisors, whose sum is σ = 127538281728008. Its totient is φ = 127538281728006.

The previous prime is 127538281727953. The next prime is 127538281728017. The reversal of 127538281728007 is 700827182835721.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127538281728007 is a prime.

It is a super-2 number, since 2×127538281728007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127538281728017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63769140864003 + 63769140864004.

It is an arithmetic number, because the mean of its divisors is an integer number (63769140864004).

Almost surely, 2^{127538281728007} is an apocalyptic number.

127538281728007 is a deficient number, since it is larger than the sum of its proper divisors (1).

127538281728007 is an equidigital number, since it uses as much as digits as its factorization.

127538281728007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21073920, while the sum is 61.

The spelling of 127538281728007 in words is "one hundred twenty-seven trillion, five hundred thirty-eight billion, two hundred eighty-one million, seven hundred twenty-eight thousand, seven".