1256681041 has 32 divisors (see below), whose sum is σ = 1631969280. Its totient is φ = 938952000.

The previous prime is 1256681029. The next prime is 1256681051. The reversal of 1256681041 is 1401866521.

It is not a de Polignac number, because 1256681041 - 2¹¹ = 1256678993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1256680988 and 1256681006.

It is not an unprimeable number, because it can be changed into a prime (1256681051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 335320 + ... + 339046.

It is an arithmetic number, because the mean of its divisors is an integer number (50999040).

Almost surely, 2^1256681041 is an apocalyptic number.

1256681041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1256681041 is a deficient number, since it is larger than the sum of its proper divisors (375288239).

1256681041 is a wasteful number, since it uses less digits than its factorization.

1256681041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1256681041 is about 35449.6973329816. The cubic root of 1256681041 is about 1079.1331180963.

The spelling of 1256681041 in words is "one billion, two hundred fifty-six million, six hundred eighty-one thousand, forty-one".