1330561305 has 48 divisors (see below), whose sum is σ = 2361475584. Its totient is φ = 692737920.

The previous prime is 1330561259. The next prime is 1330561307. The reversal of 1330561305 is 5031650331.

1330561305 is a `hidden beast` number, since 13 + 30 + 5 + 613 + 0 + 5 = 666.

It is not a de Polignac number, because 1330561305 - 2⁹ = 1330560793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330561307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334067 + ... + 1335063.

It is an arithmetic number, because the mean of its divisors is an integer number (49197408).

Almost surely, 2^1330561305 is an apocalyptic number.

1330561305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330561305 is a deficient number, since it is larger than the sum of its proper divisors (1030914279).

1330561305 is a wasteful number, since it uses less digits than its factorization.

1330561305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1330561305 is about 36476.8598566269. The cubic root of 1330561305 is about 1099.8791341029.

The spelling of 1330561305 in words is "one billion, three hundred thirty million, five hundred sixty-one thousand, three hundred five".