256303303541401 has 2 divisors, whose sum is σ = 256303303541402. Its totient is φ = 256303303541400.

The previous prime is 256303303541399. The next prime is 256303303541423. The reversal of 256303303541401 is 104145303303652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256139378966025 + 163924575376 = 16004355^2 + 404876^2 .

It is a cyclic number.

It is not a de Polignac number, because 256303303541401 - 2¹ = 256303303541399 is a prime.

Together with 256303303541399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (256303303541491) 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 as a sum of consecutive naturals, namely, 128151651770700 + 128151651770701.

It is an arithmetic number, because the mean of its divisors is an integer number (128151651770701).

Almost surely, 2^{256303303541401} is an apocalyptic number.

It is an amenable number.

256303303541401 is a deficient number, since it is larger than the sum of its proper divisors (1).

256303303541401 is an equidigital number, since it uses as much as digits as its factorization.

256303303541401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 256303303541401 in words is "two hundred fifty-six trillion, three hundred three billion, three hundred three million, five hundred forty-one thousand, four hundred one".