1347347527009 has 45 divisors (see below), whose sum is σ = 1518956103945. Its totient is φ = 1195111288800.

The previous prime is 1347347526991. The next prime is 1347347527033. The reversal of 1347347527009 is 9007257437431.

The square root of 1347347527009 is 1160753.

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 256425768225 + 1090921758784 = 506385^2 + 1044472^2 .

It is not a de Polignac number, because 1347347527009 - 2¹⁹ = 1347347002721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1347347527069) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7443908899 + ... + 7443909079.

Almost surely, 2^{1347347527009} is an apocalyptic number.

1347347527009 is the 1160753-rd square number.

1347347527009 is the 580377-th centered octagonal number.

It is an amenable number.

1347347527009 is a deficient number, since it is larger than the sum of its proper divisors (171608576936).

1347347527009 is an frugal number, since it uses more digits than its factorization.

1347347527009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 1347347527009 in words is "one trillion, three hundred forty-seven billion, three hundred forty-seven million, five hundred twenty-seven thousand, nine".