256540041 has 20 divisors (see below), whose sum is σ = 385686532. Its totient is φ = 169928928.

The previous prime is 256540027. The next prime is 256540043. The reversal of 256540041 is 140045652.

256540041 is a `hidden beast` number, since 2 + 5 + 654 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 63441225 = 13896^2 + 7965^2 .

It is not a de Polignac number, because 256540041 - 2⁶ = 256539977 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256539987 and 256540014.

It is not an unprimeable number, because it can be changed into a prime (256540043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2631 + ... + 22803.

Almost surely, 2^256540041 is an apocalyptic number.

It is an amenable number.

256540041 is a deficient number, since it is larger than the sum of its proper divisors (129146491).

256540041 is a wasteful number, since it uses less digits than its factorization.

256540041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20342 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256540041 is about 16016.8673903482. The cubic root of 256540041 is about 635.4065976358.

Adding to 256540041 its reverse (140045652), we get a palindrome (396585693).

The spelling of 256540041 in words is "two hundred fifty-six million, five hundred forty thousand, forty-one".