256966007 has 2 divisors, whose sum is σ = 256966008. Its totient is φ = 256966006.

The previous prime is 256965953. The next prime is 256966027. The reversal of 256966007 is 700669652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 256966007 - 2¹⁶ = 256900471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256966027) 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, 128483003 + 128483004.

It is an arithmetic number, because the mean of its divisors is an integer number (128483004).

Almost surely, 2^256966007 is an apocalyptic number.

256966007 is a deficient number, since it is larger than the sum of its proper divisors (1).

256966007 is an equidigital number, since it uses as much as digits as its factorization.

256966007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 256966007 is about 16030.1592942803. The cubic root of 256966007 is about 635.7580852491.

The spelling of 256966007 in words is "two hundred fifty-six million, nine hundred sixty-six thousand, seven".