256757696033 has 2 divisors, whose sum is σ = 256757696034. Its totient is φ = 256757696032.

The previous prime is 256757696023. The next prime is 256757696059. The reversal of 256757696033 is 330696757652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248196265249 + 8561430784 = 498193^2 + 92528^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256757696033 is a prime.

It is a super-3 number, since 3×256757696033³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (256757696003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128378848016 + 128378848017.

It is an arithmetic number, because the mean of its divisors is an integer number (128378848017).

Almost surely, 2^256757696033 is an apocalyptic number.

It is an amenable number.

256757696033 is a deficient number, since it is larger than the sum of its proper divisors (1).

256757696033 is an equidigital number, since it uses as much as digits as its factorization.

256757696033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42865200, while the sum is 59.

The spelling of 256757696033 in words is "two hundred fifty-six billion, seven hundred fifty-seven million, six hundred ninety-six thousand, thirty-three".