1256131041 has 32 divisors (see below), whose sum is σ = 1863613440. Its totient is φ = 746232000.

The previous prime is 1256131031. The next prime is 1256131049. The reversal of 1256131041 is 1401316521.

It is a happy number.

1256131041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1256131041 - 2⁷ = 1256130913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1256131049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341470 + ... + 345128.

It is an arithmetic number, because the mean of its divisors is an integer number (58237920).

Almost surely, 2^1256131041 is an apocalyptic number.

1256131041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1256131041 is a deficient number, since it is larger than the sum of its proper divisors (607482399).

1256131041 is a wasteful number, since it uses less digits than its factorization.

1256131041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1256131041 is about 35441.9390129829. The cubic root of 1256131041 is about 1078.9756637108.

Adding to 1256131041 its reverse (1401316521), we get a palindrome (2657447562).

The spelling of 1256131041 in words is "one billion, two hundred fifty-six million, one hundred thirty-one thousand, forty-one".