256517300253105 has 32 divisors (see below), whose sum is σ = 482856094598400. Its totient is φ = 128761625223936.

The previous prime is 256517300253101. The next prime is 256517300253113. The reversal of 256517300253105 is 501352003715652.

256517300253105 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 7 + 300 + 25 + 310 + 5 = 666.

It is not a de Polignac number, because 256517300253105 - 2² = 256517300253101 is a prime.

It is a super-2 number, since 2×256517300253105² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256517300253101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55886119765 + ... + 55886124354.

It is an arithmetic number, because the mean of its divisors is an integer number (15089252956200).

Almost surely, 2^{256517300253105} is an apocalyptic number.

It is an amenable number.

256517300253105 is a deficient number, since it is larger than the sum of its proper divisors (226338794345295).

256517300253105 is a wasteful number, since it uses less digits than its factorization.

256517300253105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111772244150 (or 111772244144 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

Adding to 256517300253105 its reverse (501352003715652), we get a palindrome (757869303968757).

The spelling of 256517300253105 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred million, two hundred fifty-three thousand, one hundred five".