1305968033 has 8 divisors (see below), whose sum is σ = 1390432680. Its totient is φ = 1222352640.

The previous prime is 1305968023. The next prime is 1305968047. The reversal of 1305968033 is 3308695031.

It can be written as a sum of positive squares in 4 ways, for example, as 12271009 + 1293697024 = 3503^2 + 35968^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1305968033 - 2⁸ = 1305967777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305968023) 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 in 7 ways as a sum of consecutive naturals, for example, 209138 + ... + 215291.

It is an arithmetic number, because the mean of its divisors is an integer number (173804085).

Almost surely, 2^1305968033 is an apocalyptic number.

It is an amenable number.

1305968033 is a deficient number, since it is larger than the sum of its proper divisors (84464647).

1305968033 is a wasteful number, since it uses less digits than its factorization.

1305968033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424627.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 1305968033 is about 36138.1797134277. The cubic root of 1305968033 is about 1093.0604540235.

The spelling of 1305968033 in words is "one billion, three hundred five million, nine hundred sixty-eight thousand, thirty-three".