1303599913009 has 9 divisors (see below), whose sum is σ = 1307531346849. Its totient is φ = 1299680274960.

The previous prime is 1303599912949. The next prime is 1303599913019. The reversal of 1303599913009 is 9003199953031.

The square root of 1303599913009 is 1141753.

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

It can be written as a sum of positive squares in 4 ways, for example, as 429883479025 + 873716433984 = 655655^2 + 934728^2 .

It is not a de Polignac number, because 1303599913009 - 2³³ = 1295009978417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303599913019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 425872339 + ... + 425875399.

It is an arithmetic number, because the mean of its divisors is an integer number (145281260761).

Almost surely, 2^{1303599913009} is an apocalyptic number.

1303599913009 is the 1141753-rd square number.

1303599913009 is the 570877-th centered octagonal number.

It is an amenable number.

1303599913009 is a deficient number, since it is larger than the sum of its proper divisors (3931433840).

1303599913009 is an frugal number, since it uses more digits than its factorization.

1303599913009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 885735, while the sum is 52.

The spelling of 1303599913009 in words is "one trillion, three hundred three billion, five hundred ninety-nine million, nine hundred thirteen thousand, nine".