256141305 has 128 divisors (see below), whose sum is σ = 545587200. Its totient is φ = 111601152.

The previous prime is 256141289. The next prime is 256141331. The reversal of 256141305 is 503141652.

It is not a de Polignac number, because 256141305 - 2⁴ = 256141289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3242256 + ... + 3242334.

It is an arithmetic number, because the mean of its divisors is an integer number (4262400).

Almost surely, 2^256141305 is an apocalyptic number.

It is an amenable number.

256141305 is an abundant number, since it is smaller than the sum of its proper divisors (289445895).

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

256141305 is a wasteful number, since it uses less digits than its factorization.

256141305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 256141305 is about 16004.4151720705. The cubic root of 256141305 is about 635.0772262288.

Adding to 256141305 its reverse (503141652), we get a palindrome (759282957).

The spelling of 256141305 in words is "two hundred fifty-six million, one hundred forty-one thousand, three hundred five".