52840676641 has 9 divisors (see below), whose sum is σ = 53062045491. Its totient is φ = 52620230352.

The previous prime is 52840676639. The next prime is 52840676653. The reversal of 52840676641 is 14667604825.

The square root of 52840676641 is 229871.

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., 45699750625 + 7140926016 = 213775^2 + 84504^2 .

It is not a de Polignac number, because 52840676641 - 2¹ = 52840676639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52840676611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105050796 + ... + 105051298.

Almost surely, 2^52840676641 is an apocalyptic number.

52840676641 is the 229871-st square number.

52840676641 is the 114936-th centered octagonal number.

It is an amenable number.

52840676641 is a deficient number, since it is larger than the sum of its proper divisors (221368850).

52840676641 is an frugal number, since it uses more digits than its factorization.

52840676641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 52840676641 by its sum of digits (49), we get a square (2589193155409 = 1609097²).

The spelling of 52840676641 in words is "fifty-two billion, eight hundred forty million, six hundred seventy-six thousand, six hundred forty-one".