256506869593 has 16 divisors (see below), whose sum is σ = 289974617856. Its totient is φ = 225124764480.

The previous prime is 256506869573. The next prime is 256506869609. The reversal of 256506869593 is 395968605652.

256506869593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 206764-th star number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256506869593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256506869573) 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 in 15 ways as a sum of consecutive naturals, for example, 2518578 + ... + 2618443.

It is an arithmetic number, because the mean of its divisors is an integer number (18123413616).

Almost surely, 2^256506869593 is an apocalyptic number.

256506869593 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

256506869593 is a deficient number, since it is larger than the sum of its proper divisors (33467748263).

256506869593 is a wasteful number, since it uses less digits than its factorization.

256506869593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137224.

The product of its (nonzero) digits is 104976000, while the sum is 64.

The spelling of 256506869593 in words is "two hundred fifty-six billion, five hundred six million, eight hundred sixty-nine thousand, five hundred ninety-three".