1305463729 has 2 divisors, whose sum is σ = 1305463730. Its totient is φ = 1305463728.

The previous prime is 1305463727. The next prime is 1305463769. The reversal of 1305463729 is 9273645031.

It is a happy number.

It is an a-pointer prime, because the next prime (1305463769) can be obtained adding 1305463729 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 924160000 + 381303729 = 30400^2 + 19527^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305463729 - 2¹ = 1305463727 is a prime.

Together with 1305463727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1305463691 and 1305463700.

It is not a weakly prime, because it can be changed into another prime (1305463727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652731864 + 652731865.

It is an arithmetic number, because the mean of its divisors is an integer number (652731865).

Almost surely, 2^1305463729 is an apocalyptic number.

It is an amenable number.

1305463729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305463729 is an equidigital number, since it uses as much as digits as its factorization.

1305463729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 1305463729 is about 36131.2015991719. The cubic root of 1305463729 is about 1092.9197395715.

The spelling of 1305463729 in words is "one billion, three hundred five million, four hundred sixty-three thousand, seven hundred twenty-nine".