256299296041 has 2 divisors, whose sum is σ = 256299296042. Its totient is φ = 256299296040.

The previous prime is 256299295999. The next prime is 256299296081. The reversal of 256299296041 is 140692992652.

256299296041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255752718400 + 546577641 = 505720^2 + 23379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256299296041 is a prime.

It is a super-3 number, since 3×256299296041³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (256299296081) 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 as a sum of consecutive naturals, namely, 128149648020 + 128149648021.

It is an arithmetic number, because the mean of its divisors is an integer number (128149648021).

Almost surely, 2^256299296041 is an apocalyptic number.

It is an amenable number.

256299296041 is a deficient number, since it is larger than the sum of its proper divisors (1).

256299296041 is an equidigital number, since it uses as much as digits as its factorization.

256299296041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 256299296041 in words is "two hundred fifty-six billion, two hundred ninety-nine million, two hundred ninety-six thousand, forty-one".