52122580842409 has 27 divisors (see below), whose sum is σ = 66646230352023. Its totient is φ = 40614564883200.

The previous prime is 52122580842377. The next prime is 52122580842457. The reversal of 52122580842409 is 90424808522125.

The square root of 52122580842409 is 7219597.

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., 3798394408809 + 48324186433600 = 1948947^2 + 6951560^2 .

It is not a de Polignac number, because 52122580842409 - 2⁵ = 52122580842377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52122580842209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 555862089 + ... + 555955849.

Almost surely, 2^{52122580842409} is an apocalyptic number.

52122580842409 is the 7219597-th square number.

52122580842409 is the 3609799-th centered octagonal number.

It is an amenable number.

52122580842409 is a deficient number, since it is larger than the sum of its proper divisors (14523649509614).

52122580842409 is an frugal number, since it uses more digits than its factorization.

52122580842409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187558 (or 93779 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 52122580842409 in words is "fifty-two trillion, one hundred twenty-two billion, five hundred eighty million, eight hundred forty-two thousand, four hundred nine".