16543523121129 has 27 divisors (see below), whose sum is σ = 24560168787063. Its totient is φ = 10730641065552.

The previous prime is 16543523121071. The next prime is 16543523121143. The reversal of 16543523121129 is 92112132534561.

The square root of 16543523121129 is 4067373.

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

16543523121129 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 3 + 523 + 1 + 2 + 112 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14803371675225 + 1740151445904 = 3847515^2 + 1319148^2 .

It is not a de Polignac number, because 16543523121129 - 2⁷ = 16543523121001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16543523126129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451460082 + ... + 451496724.

Almost surely, 2^{16543523121129} is an apocalyptic number.

16543523121129 is the 4067373-rd square number.

16543523121129 is the 2033687-th centered octagonal number.

It is an amenable number.

16543523121129 is a deficient number, since it is larger than the sum of its proper divisors (8016645665934).

16543523121129 is an frugal number, since it uses more digits than its factorization.

16543523121129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73366 (or 36683 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 16543523121129 in words is "sixteen trillion, five hundred forty-three billion, five hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty-nine".