1305345330 has 48 divisors (see below), whose sum is σ = 3397852224. Its totient is φ = 347686560.

The previous prime is 1305345287. The next prime is 1305345337. The reversal of 1305345330 is 335435031.

It is a happy number.

1305345330 is a `hidden beast` number, since 130 + 53 + 453 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1305345294 and 1305345303.

It is not an unprimeable number, because it can be changed into a prime (1305345337) 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 23 ways as a sum of consecutive naturals, for example, 73635 + ... + 89625.

It is an arithmetic number, because the mean of its divisors is an integer number (70788588).

Almost surely, 2^1305345330 is an apocalyptic number.

1305345330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305345330 is an abundant number, since it is smaller than the sum of its proper divisors (2092506894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305345330 is a wasteful number, since it uses less digits than its factorization.

1305345330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16911 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1305345330 is about 36129.5631028110. The cubic root of 1305345330 is about 1092.8866977965.

The spelling of 1305345330 in words is "one billion, three hundred five million, three hundred forty-five thousand, three hundred thirty".