12732572202529 has 9 divisors (see below), whose sum is σ = 12755568305529. Its totient is φ = 12709617502320.

The previous prime is 12732572202509. The next prime is 12732572202533. The reversal of 12732572202529 is 92520227523721.

It is a happy number.

The square root of 12732572202529 is 3568273.

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 1199430184225 + 11533142018304 = 1095185^2 + 3396048^2 .

It is not a de Polignac number, because 12732572202529 - 2²⁷ = 12732437984801 is a prime.

It is a super-2 number, since 2×12732572202529² (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 (12732572202509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2187348439 + ... + 2187354259.

It is an arithmetic number, because the mean of its divisors is an integer number (1417285367281).

Almost surely, 2^{12732572202529} is an apocalyptic number.

12732572202529 is the 3568273-rd square number.

12732572202529 is the 1784137-th centered octagonal number.

It is an amenable number.

12732572202529 is a deficient number, since it is larger than the sum of its proper divisors (22996103000).

12732572202529 is an frugal number, since it uses more digits than its factorization.

12732572202529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 12732572202529 by its sum of digits (49), we get a square (623896037923921 = 24977911²).

The spelling of 12732572202529 in words is "twelve trillion, seven hundred thirty-two billion, five hundred seventy-two million, two hundred two thousand, five hundred twenty-nine".