256321751352 has 128 divisors (see below), whose sum is σ = 673122078720. Its totient is φ = 81236736000.

The previous prime is 256321751299. The next prime is 256321751359. The reversal of 256321751352 is 253157123652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256321751359) 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 31 ways as a sum of consecutive naturals, for example, 15469152 + ... + 15485712.

It is an arithmetic number, because the mean of its divisors is an integer number (5258766240).

Almost surely, 2^256321751352 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 256321751352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336561039360).

256321751352 is an abundant number, since it is smaller than the sum of its proper divisors (416800327368).

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

256321751352 is a wasteful number, since it uses less digits than its factorization.

256321751352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16965 (or 16961 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The spelling of 256321751352 in words is "two hundred fifty-six billion, three hundred twenty-one million, seven hundred fifty-one thousand, three hundred fifty-two".