1305505220 has 48 divisors (see below), whose sum is σ = 2770891200. Its totient is φ = 516645504.

The previous prime is 1305505217. The next prime is 1305505297. The reversal of 1305505220 is 225055031.

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, 914147 + ... + 915573.

It is an arithmetic number, because the mean of its divisors is an integer number (57726900).

Almost surely, 2^1305505220 is an apocalyptic number.

1305505220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305505220 is an abundant number, since it is smaller than the sum of its proper divisors (1465385980).

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

1305505220 is a wasteful number, since it uses less digits than its factorization.

1305505220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1305505220 is about 36131.7757659377. The cubic root of 1305505220 is about 1092.9313180503.

The spelling of 1305505220 in words is "one billion, three hundred five million, five hundred five thousand, two hundred twenty".