13500208593169 has 9 divisors (see below), whose sum is σ = 13641180945147. Its totient is φ = 13360678455744.

The previous prime is 13500208593127. The next prime is 13500208593173. The reversal of 13500208593169 is 96139580200531.

The square root of 13500208593169 is 3674263.

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., 6062108758225 + 7438099834944 = 2462135^2 + 2727288^2 .

It is not a de Polignac number, because 13500208593169 - 2¹⁹ = 13500208068881 is a prime.

It is a super-2 number, since 2×13500208593169² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13500208593269) 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, 356384572 + ... + 356422450.

It is an arithmetic number, because the mean of its divisors is an integer number (1515686771683).

Almost surely, 2^{13500208593169} is an apocalyptic number.

13500208593169 is the 3674263-rd square number.

13500208593169 is the 1837132-nd centered octagonal number.

It is an amenable number.

13500208593169 is a deficient number, since it is larger than the sum of its proper divisors (140972351978).

13500208593169 is an frugal number, since it uses more digits than its factorization.

13500208593169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75952 (or 37976 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 13500208593169 in words is "thirteen trillion, five hundred billion, two hundred eight million, five hundred ninety-three thousand, one hundred sixty-nine".