256516072426165 has 8 divisors (see below), whose sum is σ = 307822521184128. Its totient is φ = 205210701759120.

The previous prime is 256516072426091. The next prime is 256516072426169. The reversal of 256516072426165 is 561624270615652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 256516072426165 - 2¹⁵ = 256516072393397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256516072426169) 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 in 7 ways as a sum of consecutive naturals, for example, 268999177 + ... + 269951086.

It is an arithmetic number, because the mean of its divisors is an integer number (38477815148016).

Almost surely, 2^{256516072426165} is an apocalyptic number.

It is an amenable number.

256516072426165 is a deficient number, since it is larger than the sum of its proper divisors (51306448757963).

256516072426165 is an equidigital number, since it uses as much as digits as its factorization.

256516072426165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539045459.

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 256516072426165 in words is "two hundred fifty-six trillion, five hundred sixteen billion, seventy-two million, four hundred twenty-six thousand, one hundred sixty-five".