257020256171027 has 8 divisors (see below), whose sum is σ = 265326299537280. Its totient is φ = 248715154514880.

The previous prime is 257020256171023. The next prime is 257020256171047. The reversal of 257020256171027 is 720171652020752.

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

It is not a de Polignac number, because 257020256171027 - 2² = 257020256171023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257020256171023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234872828 + ... + 235964585.

It is an arithmetic number, because the mean of its divisors is an integer number (33165787442160).

Almost surely, 2^{257020256171027} is an apocalyptic number.

257020256171027 is a deficient number, since it is larger than the sum of its proper divisors (8306043366253).

257020256171027 is a wasteful number, since it uses less digits than its factorization.

257020256171027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470855053.

The product of its (nonzero) digits is 823200, while the sum is 47.

The spelling of 257020256171027 in words is "two hundred fifty-seven trillion, twenty billion, two hundred fifty-six million, one hundred seventy-one thousand, twenty-seven".