256735524271171 has 16 divisors (see below), whose sum is σ = 289767297254400. Its totient is φ = 225321026666400.

The previous prime is 256735524271147. The next prime is 256735524271183. The reversal of 256735524271171 is 171172425537652.

It is a cyclic number.

It is not a de Polignac number, because 256735524271171 - 2¹¹ = 256735524269123 is a prime.

It is a super-2 number, since 2×256735524271171² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256735524271141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45111795 + ... + 50483116.

It is an arithmetic number, because the mean of its divisors is an integer number (18110456078400).

Almost surely, 2^{256735524271171} is an apocalyptic number.

256735524271171 is a deficient number, since it is larger than the sum of its proper divisors (33031772983229).

256735524271171 is a wasteful number, since it uses less digits than its factorization.

256735524271171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95603370.

The product of its digits is 24696000, while the sum is 58.

The spelling of 256735524271171 in words is "two hundred fifty-six trillion, seven hundred thirty-five billion, five hundred twenty-four million, two hundred seventy-one thousand, one hundred seventy-one".