127300827528257 has 8 divisors (see below), whose sum is σ = 128962257926880. Its totient is φ = 125642437260480.

The previous prime is 127300827528241. The next prime is 127300827528271. The reversal of 127300827528257 is 752825728003721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127300827528257 - 2⁴ = 127300827528241 is a prime.

It is a super-2 number, since 2×127300827528257² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127300827528196 and 127300827528205.

It is not an unprimeable number, because it can be changed into a prime (127300827558257) 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 7 ways as a sum of consecutive naturals, for example, 759948419 + ... + 760115912.

It is an arithmetic number, because the mean of its divisors is an integer number (16120282240860).

Almost surely, 2^{127300827528257} is an apocalyptic number.

It is an amenable number.

127300827528257 is a deficient number, since it is larger than the sum of its proper divisors (1661430398623).

127300827528257 is a wasteful number, since it uses less digits than its factorization.

127300827528257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520065423.

The product of its (nonzero) digits is 26342400, while the sum is 59.

The spelling of 127300827528257 in words is "one hundred twenty-seven trillion, three hundred billion, eight hundred twenty-seven million, five hundred twenty-eight thousand, two hundred fifty-seven".