256517273305555 has 64 divisors (see below), whose sum is σ = 353482766467200. Its totient is φ = 177507494461440.

The previous prime is 256517273305541. The next prime is 256517273305571. The reversal of 256517273305555 is 555503372715652.

It is not a de Polignac number, because 256517273305555 - 2⁷ = 256517273305427 is a prime.

It is a super-2 number, since 2×256517273305555² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256517273305493 and 256517273305502.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9218406 + ... + 24454315.

It is an arithmetic number, because the mean of its divisors is an integer number (5523168226050).

Almost surely, 2^{256517273305555} is an apocalyptic number.

256517273305555 is a deficient number, since it is larger than the sum of its proper divisors (96965493161645).

256517273305555 is a wasteful number, since it uses less digits than its factorization.

256517273305555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672904.

The product of its (nonzero) digits is 165375000, while the sum is 61.

The spelling of 256517273305555 in words is "two hundred fifty-six trillion, five hundred seventeen billion, two hundred seventy-three million, three hundred five thousand, five hundred fifty-five".