1305730305 has 48 divisors (see below), whose sum is σ = 2614270464. Its totient is φ = 595837440.

The previous prime is 1305730301. The next prime is 1305730319. The reversal of 1305730305 is 5030375031.

It is not a de Polignac number, because 1305730305 - 2² = 1305730301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305730301) 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, 69169 + ... + 85998.

It is an arithmetic number, because the mean of its divisors is an integer number (54463968).

Almost surely, 2^1305730305 is an apocalyptic number.

1305730305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305730305 is an abundant number, since it is smaller than the sum of its proper divisors (1308540159).

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

1305730305 is a wasteful number, since it uses less digits than its factorization.

1305730305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155206 (or 155203 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 1305730305 is about 36134.8904107927. The cubic root of 1305730305 is about 1092.9941259976.

The spelling of 1305730305 in words is "one billion, three hundred five million, seven hundred thirty thousand, three hundred five".