127305964832257 has 16 divisors (see below), whose sum is σ = 133681763105280. Its totient is φ = 121075461964800.

The previous prime is 127305964832209. The next prime is 127305964832329. The reversal of 127305964832257 is 752238469503721.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 127305964832257 - 2³⁵ = 127271605093889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127305964832357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26744032 + ... + 31142497.

It is an arithmetic number, because the mean of its divisors is an integer number (8355110194080).

It is a 1-persistent number, because it is pandigital, but 2⋅127305964832257 = 254611929664514 is not.

Almost surely, 2^{127305964832257} is an apocalyptic number.

It is an amenable number.

127305964832257 is a deficient number, since it is larger than the sum of its proper divisors (6375798273023).

127305964832257 is a wasteful number, since it uses less digits than its factorization.

127305964832257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57887784.

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 127305964832257 in words is "one hundred twenty-seven trillion, three hundred five billion, nine hundred sixty-four million, eight hundred thirty-two thousand, two hundred fifty-seven".