256901683001 has 8 divisors (see below), whose sum is σ = 260432997864. Its totient is φ = 253370695680.

The previous prime is 256901682943. The next prime is 256901683097. The reversal of 256901683001 is 100386109652.

256901683001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5579940601 + 251321742400 = 74699^2 + 501320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256901683001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256901683001.

It is not an unprimeable number, because it can be changed into a prime (256901682001) 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 7 ways as a sum of consecutive naturals, for example, 1789241 + ... + 1927481.

It is an arithmetic number, because the mean of its divisors is an integer number (32554124733).

Almost surely, 2^256901683001 is an apocalyptic number.

It is an amenable number.

256901683001 is a deficient number, since it is larger than the sum of its proper divisors (3531314863).

256901683001 is a wasteful number, since it uses less digits than its factorization.

256901683001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163771.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 256901683001 in words is "two hundred fifty-six billion, nine hundred one million, six hundred eighty-three thousand, one".