13053748009 has 9 divisors (see below), whose sum is σ = 13278341349. Its totient is φ = 12832896960.

The previous prime is 13053748007. The next prime is 13053748021. The reversal of 13053748009 is 90084735031.

The square root of 13053748009 is 114253.

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 11561625625 + 1492122384 = 107525^2 + 38628^2 .

It is not a de Polignac number, because 13053748009 - 2¹ = 13053748007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13053748007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6968497 + ... + 6970369.

It is an arithmetic number, because the mean of its divisors is an integer number (1475371261).

Almost surely, 2^13053748009 is an apocalyptic number.

13053748009 is the 114253-rd square number.

13053748009 is the 57127-th centered octagonal number.

It is an amenable number.

13053748009 is a deficient number, since it is larger than the sum of its proper divisors (224593340).

13053748009 is an frugal number, since it uses more digits than its factorization.

13053748009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 13053748009 in words is "thirteen billion, fifty-three million, seven hundred forty-eight thousand, nine".