1305134123569 has 2 divisors, whose sum is σ = 1305134123570. Its totient is φ = 1305134123568.

The previous prime is 1305134123459. The next prime is 1305134123581. The reversal of 1305134123569 is 9653214315031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1297749299344 + 7384824225 = 1139188^2 + 85935^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305134123569 - 2¹⁹ = 1305133599281 is a prime.

It is a super-2 number, since 2×1305134123569² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1305134123669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652567061784 + 652567061785.

It is an arithmetic number, because the mean of its divisors is an integer number (652567061785).

Almost surely, 2^{1305134123569} is an apocalyptic number.

It is an amenable number.

1305134123569 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305134123569 is an equidigital number, since it uses as much as digits as its factorization.

1305134123569 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 1305134123569 in words is "one trillion, three hundred five billion, one hundred thirty-four million, one hundred twenty-three thousand, five hundred sixty-nine".