1312584041 has 2 divisors, whose sum is σ = 1312584042. Its totient is φ = 1312584040.

The previous prime is 1312583983. The next prime is 1312584047. The reversal of 1312584041 is 1404852131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818188816 + 494395225 = 28604^2 + 22235^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312584041 - 2⁶ = 1312583977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312583995 and 1312584013.

It is not a weakly prime, because it can be changed into another prime (1312584047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656292020 + 656292021.

It is an arithmetic number, because the mean of its divisors is an integer number (656292021).

Almost surely, 2^1312584041 is an apocalyptic number.

It is an amenable number.

1312584041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312584041 is an equidigital number, since it uses as much as digits as its factorization.

1312584041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1312584041 is about 36229.6017229006. The cubic root of 1312584041 is about 1094.9031533093.

The spelling of 1312584041 in words is "one billion, three hundred twelve million, five hundred eighty-four thousand, forty-one".