1305065101 has 2 divisors, whose sum is σ = 1305065102. Its totient is φ = 1305065100.

The previous prime is 1305065089. The next prime is 1305065159. The reversal of 1305065101 is 1015605031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 903062601 + 402002500 = 30051^2 + 20050^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305065101 - 2¹⁹ = 1304540813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305060101) 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, 652532550 + 652532551.

It is an arithmetic number, because the mean of its divisors is an integer number (652532551).

Almost surely, 2^1305065101 is an apocalyptic number.

It is an amenable number.

1305065101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305065101 is an equidigital number, since it uses as much as digits as its factorization.

1305065101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1305065101 is about 36125.6847824370. The cubic root of 1305065101 is about 1092.8084859349.

The spelling of 1305065101 in words is "one billion, three hundred five million, sixty-five thousand, one hundred one".