256411452217 has 8 divisors (see below), whose sum is σ = 274544980200. Its totient is φ = 238616868864.

The previous prime is 256411452181. The next prime is 256411452259. The reversal of 256411452217 is 712254114652.

256411452217 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 33373443856 + 223038008361 = 182684^2 + 472269^2 .

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 256411452217 - 2²⁷ = 256277234489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256411452217.

It is not an unprimeable number, because it can be changed into a prime (256411452317) 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, 84734592 + ... + 84737617.

It is an arithmetic number, because the mean of its divisors is an integer number (34318122525).

Almost surely, 2^256411452217 is an apocalyptic number.

It is an amenable number.

256411452217 is a deficient number, since it is larger than the sum of its proper divisors (18133527983).

256411452217 is a wasteful number, since it uses less digits than its factorization.

256411452217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169472315.

The product of its digits is 134400, while the sum is 40.

Adding to 256411452217 its reverse (712254114652), we get a palindrome (968665566869).

The spelling of 256411452217 in words is "two hundred fifty-six billion, four hundred eleven million, four hundred fifty-two thousand, two hundred seventeen".