1305770146209 has 15 divisors (see below), whose sum is σ = 1950610272897. Its totient is φ = 870506574588.

The previous prime is 1305770146201. The next prime is 1305770146297. The reversal of 1305770146209 is 9026410775031.

The square root of 1305770146209 is 1142703.

It is a perfect power (a square), and thus also a powerful number.

1305770146209 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 7 + 0 + 14 + 620 + 9 = 666.

It is not a de Polignac number, because 1305770146209 - 2³ = 1305770146201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305770146201) 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 14 ways as a sum of consecutive naturals, for example, 10220844 + ... + 10347810.

Almost surely, 2^{1305770146209} is an apocalyptic number.

1305770146209 is the 1142703-rd square number.

1305770146209 is the 571352-nd centered octagonal number.

It is an amenable number.

1305770146209 is a deficient number, since it is larger than the sum of its proper divisors (644840126688).

1305770146209 is an frugal number, since it uses more digits than its factorization.

1305770146209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253946 (or 126970 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1305770146209 in words is "one trillion, three hundred five billion, seven hundred seventy million, one hundred forty-six thousand, two hundred nine".