256341713500 has 96 divisors (see below), whose sum is σ = 565820760960. Its totient is φ = 101445120000.

The previous prime is 256341713449. The next prime is 256341713501. The reversal of 256341713500 is 5317143652.

256341713500 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 2×256341713500² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256341713500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256341713501) 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 31 ways as a sum of consecutive naturals, for example, 82449946 + ... + 82453054.

It is an arithmetic number, because the mean of its divisors is an integer number (5893966260).

Almost surely, 2^256341713500 is an apocalyptic number.

256341713500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256341713500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282910380480).

256341713500 is an abundant number, since it is smaller than the sum of its proper divisors (309479047460).

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

256341713500 is a wasteful number, since it uses less digits than its factorization.

256341713500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 256341713500 in words is "two hundred fifty-six billion, three hundred forty-one million, seven hundred thirteen thousand, five hundred".