1305305330 has 32 divisors (see below), whose sum is σ = 2687053824. Its totient is φ = 447224256.

The previous prime is 1305305303. The next prime is 1305305347. The reversal of 1305305330 is 335035031.

It is a junction number, because it is equal to n+sod(n) for n = 1305305296 and 1305305305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110804 + ... + 122016.

It is an arithmetic number, because the mean of its divisors is an integer number (83970432).

Almost surely, 2^1305305330 is an apocalyptic number.

1305305330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305305330 is an abundant number, since it is smaller than the sum of its proper divisors (1381748494).

1305305330 is a wasteful number, since it uses less digits than its factorization.

1305305330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890.

The product of its (nonzero) digits is 2025, while the sum is 23.

The square root of 1305305330 is about 36129.0095352751. The cubic root of 1305305330 is about 1092.8755344889.

The spelling of 1305305330 in words is "one billion, three hundred five million, three hundred five thousand, three hundred thirty".