13175137089 has 9 divisors (see below), whose sum is σ = 19031250979. Its totient is φ = 8783195160.

The previous prime is 13175137067. The next prime is 13175137109. The reversal of 13175137089 is 98073157131.

The square root of 13175137089 is 114783.

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

13175137089 is a `hidden beast` number, since 131 + 75 + 1 + 370 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12328327089 + 846810000 = 111033^2 + 29100^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13175137089 - 2¹¹ = 13175135041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13175137009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325219 + ... + 363479.

Almost surely, 2^13175137089 is an apocalyptic number.

13175137089 is the 114783-rd square number.

13175137089 is the 57392-nd centered octagonal number.

It is an amenable number.

13175137089 is a deficient number, since it is larger than the sum of its proper divisors (5856113890).

13175137089 is an frugal number, since it uses more digits than its factorization.

13175137089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76528 (or 38264 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 13175137089 in words is "thirteen billion, one hundred seventy-five million, one hundred thirty-seven thousand, eighty-nine".