1330453823209 has 27 divisors (see below), whose sum is σ = 1586734334391. Its totient is φ = 1112297796960.

The previous prime is 1330453823147. The next prime is 1330453823233. The reversal of 1330453823209 is 9023283540331.

The square root of 1330453823209 is 1153453.

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

It can be written as a sum of positive squares in only one way, i.e., 64108720809 + 1266345102400 = 253197^2 + 1125320^2 .

It is not a de Polignac number, because 1330453823209 - 2⁹ = 1330453822697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330453823509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331039002 + ... + 331043020.

Almost surely, 2^{1330453823209} is an apocalyptic number.

1330453823209 is the 1153453-rd square number.

1330453823209 is the 576727-th centered octagonal number.

It is an amenable number.

1330453823209 is a deficient number, since it is larger than the sum of its proper divisors (256280511182).

1330453823209 is an frugal number, since it uses more digits than its factorization.

1330453823209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 1330453823209 in words is "one trillion, three hundred thirty billion, four hundred fifty-three million, eight hundred twenty-three thousand, two hundred nine".