32996143827529 has 9 divisors (see below), whose sum is σ = 34493271451303. Its totient is φ = 31561402505512.

The previous prime is 32996143827527. The next prime is 32996143827547. The reversal of 32996143827529 is 92572834169923.

It is a happy number.

The square root of 32996143827529 is 5744227.

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., 3517976643129 + 29478167184400 = 1875627^2 + 5429380^2 .

It is not a de Polignac number, because 32996143827529 - 2¹ = 32996143827527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32996143827527) 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, 131992347 + ... + 132242095.

Almost surely, 2^{32996143827529} is an apocalyptic number.

32996143827529 is the 5744227-th square number.

32996143827529 is the 2872114-th centered octagonal number.

It is an amenable number.

32996143827529 is a deficient number, since it is larger than the sum of its proper divisors (1497127623774).

32996143827529 is an frugal number, since it uses more digits than its factorization.

32996143827529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499544 (or 249772 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 70.

The spelling of 32996143827529 in words is "thirty-two trillion, nine hundred ninety-six billion, one hundred forty-three million, eight hundred twenty-seven thousand, five hundred twenty-nine".