12982553003161 has 9 divisors (see below), whose sum is σ = 15102182833311. Its totient is φ = 11127880955352.

The previous prime is 12982553003149. The next prime is 12982553003179. The reversal of 12982553003161 is 16130035528921.

The square root of 12982553003161 is 3603131.

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., 11524361510025 + 1458191493136 = 3394755^2 + 1207556^2 .

It is not a de Polignac number, because 12982553003161 - 2⁹ = 12982553002649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12982553003111) 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, 24964551 + ... + 25479283.

Almost surely, 2^{12982553003161} is an apocalyptic number.

12982553003161 is the 3603131-st square number.

12982553003161 is the 1801566-th centered octagonal number.

It is an amenable number.

12982553003161 is a deficient number, since it is larger than the sum of its proper divisors (2119629830150).

12982553003161 is an frugal number, since it uses more digits than its factorization.

12982553003161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029480 (or 514740 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 12982553003161 in words is "twelve trillion, nine hundred eighty-two billion, five hundred fifty-three million, three thousand, one hundred sixty-one".