256517300253104 has 80 divisors (see below), whose sum is σ = 547804401920160. Its totient is φ = 115390281646080.

The previous prime is 256517300253101. The next prime is 256517300253113. The reversal of 256517300253104 is 401352003715652.

256517300253104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256517300253104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 312229292 + ... + 313049780.

It is an arithmetic number, because the mean of its divisors is an integer number (6847555024002).

Almost surely, 2^{256517300253104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256517300253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273902200960080).

256517300253104 is an abundant number, since it is smaller than the sum of its proper divisors (291287101667056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256517300253104 is a wasteful number, since it uses less digits than its factorization.

256517300253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838918 (or 838912 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

Adding to 256517300253104 its reverse (401352003715652), we get a palindrome (657869303968756).

The spelling of 256517300253104 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred million, two hundred fifty-three thousand, one hundred four".