1264125041 has 2 divisors, whose sum is σ = 1264125042. Its totient is φ = 1264125040.

The previous prime is 1264125007. The next prime is 1264125047. The reversal of 1264125041 is 1405214621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1260534016 + 3591025 = 35504^2 + 1895^2 .

It is an emirp because it is prime and its reverse (1405214621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1264125041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1264125041.

It is not a weakly prime, because it can be changed into another prime (1264125047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 632062520 + 632062521.

It is an arithmetic number, because the mean of its divisors is an integer number (632062521).

Almost surely, 2^1264125041 is an apocalyptic number.

It is an amenable number.

1264125041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1264125041 is an equidigital number, since it uses as much as digits as its factorization.

1264125041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1264125041 is about 35554.5361522268. The cubic root of 1264125041 is about 1081.2596872800.

Adding to 1264125041 its reverse (1405214621), we get a palindrome (2669339662).

The spelling of 1264125041 in words is "one billion, two hundred sixty-four million, one hundred twenty-five thousand, forty-one".