1261106117 has 2 divisors, whose sum is σ = 1261106118. Its totient is φ = 1261106116.

The previous prime is 1261106083. The next prime is 1261106137. The reversal of 1261106117 is 7116011621.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986839396 + 274266721 = 31414^2 + 16561^2 .

It is a cyclic number.

It is not a de Polignac number, because 1261106117 - 2²⁸ = 992670661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1261106137) 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 as a sum of consecutive naturals, namely, 630553058 + 630553059.

It is an arithmetic number, because the mean of its divisors is an integer number (630553059).

Almost surely, 2^1261106117 is an apocalyptic number.

It is an amenable number.

1261106117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1261106117 is an equidigital number, since it uses as much as digits as its factorization.

1261106117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 1261106117 is about 35512.0559387935. The cubic root of 1261106117 is about 1080.3982633255.

Adding to 1261106117 its reverse (7116011621), we get a palindrome (8377117738).

The spelling of 1261106117 in words is "one billion, two hundred sixty-one million, one hundred six thousand, one hundred seventeen".