1305007117 has 2 divisors, whose sum is σ = 1305007118. Its totient is φ = 1305007116.

The previous prime is 1305007103. The next prime is 1305007127. The reversal of 1305007117 is 7117005031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 830246596 + 474760521 = 28814^2 + 21789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1305007117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305007091 and 1305007100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305007127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652503558 + 652503559.

It is an arithmetic number, because the mean of its divisors is an integer number (652503559).

Almost surely, 2^1305007117 is an apocalyptic number.

It is an amenable number.

1305007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305007117 is an equidigital number, since it uses as much as digits as its factorization.

1305007117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 1305007117 is about 36124.8822420226. The cubic root of 1305007117 is about 1092.7923012134.

The spelling of 1305007117 in words is "one billion, three hundred five million, seven thousand, one hundred seventeen".