256101671761 has 8 divisors (see below), whose sum is σ = 275807160104. Its totient is φ = 236396949120.

The previous prime is 256101671713. The next prime is 256101671773. The reversal of 256101671761 is 167176101652.

It is a happy number.

256101671761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25467372225 + 230634299536 = 159585^2 + 480244^2 .

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 256101671761 - 2¹⁵ = 256101638993 is a prime.

It is a super-2 number, since 2×256101671761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256107671761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635605 + ... + 957181.

It is an arithmetic number, because the mean of its divisors is an integer number (34475895013).

Almost surely, 2^256101671761 is an apocalyptic number.

It is an amenable number.

256101671761 is a deficient number, since it is larger than the sum of its proper divisors (19705488343).

256101671761 is a wasteful number, since it uses less digits than its factorization.

256101671761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382851.

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 256101671761 in words is "two hundred fifty-six billion, one hundred one million, six hundred seventy-one thousand, seven hundred sixty-one".