256000001 has 2 divisors, whose sum is σ = 256000002. Its totient is φ = 256000000.

The previous prime is 255999983. The next prime is 256000009. The reversal of 256000001 is 100000652.

It is a Cunningham number, because it is equal to 16000²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256000000 + 1 = 16000^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 256000001 - 2⁶ = 255999937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256000001.

It is not a weakly prime, because it can be changed into another prime (256000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128000000 + 128000001.

It is an arithmetic number, because the mean of its divisors is an integer number (128000001).

It is a Proth number, since it is equal to 15625 ⋅ 2¹⁴ + 1 and 15625 < 2¹⁴.

Almost surely, 2^256000001 is an apocalyptic number.

It is an amenable number.

256000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

256000001 is an equidigital number, since it uses as much as digits as its factorization.

256000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 256000001 is about 16000.0000312500. Note that the first 4 decimals coincide. The cubic root of 256000001 is about 634.9604216141.

Adding to 256000001 its reverse (100000652), we get a palindrome (356000653).

The spelling of 256000001 in words is "two hundred fifty-six million, one", and thus it is an aban number.