256510565522641 has 8 divisors (see below), whose sum is σ = 274041138344480. Its totient is φ = 239382994375008.

The previous prime is 256510565522621. The next prime is 256510565522647. The reversal of 256510565522641 is 146225565015652.

It is a happy number.

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 256510565522641 - 2²¹ = 256510563425489 is a prime.

It is a super-3 number, since 3×256510565522641³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256510565522647) 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, 100750417236 + ... + 100750419781.

It is an arithmetic number, because the mean of its divisors is an integer number (34255142293060).

Almost surely, 2^{256510565522641} is an apocalyptic number.

It is an amenable number.

256510565522641 is a deficient number, since it is larger than the sum of its proper divisors (17530572821839).

256510565522641 is a wasteful number, since it uses less digits than its factorization.

256510565522641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201500837103.

The product of its (nonzero) digits is 21600000, while the sum is 55.

The spelling of 256510565522641 in words is "two hundred fifty-six trillion, five hundred ten billion, five hundred sixty-five million, five hundred twenty-two thousand, six hundred forty-one".