5820653235609 has 45 divisors (see below), whose sum is σ = 8828970418191. Its totient is φ = 3821563152000.

The previous prime is 5820653235601. The next prime is 5820653235611. The reversal of 5820653235609 is 9065323560285.

The square root of 5820653235609 is 2412603.

It is a perfect power (a square), and thus also a powerful number.

5820653235609 is a `hidden beast` number, since 5 + 8 + 2 + 0 + 6 + 5 + 3 + 23 + 5 + 609 = 666.

5820653235609 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 233291898009 + 5587361337600 = 483003^2 + 2363760^2 .

It is not a de Polignac number, because 5820653235609 - 2³ = 5820653235601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5820653235601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1454797609 + ... + 1454801609.

Almost surely, 2^{5820653235609} is an apocalyptic number.

5820653235609 is the 2412603-rd square number.

5820653235609 is the 1206302-nd centered octagonal number.

It is an amenable number.

5820653235609 is a deficient number, since it is larger than the sum of its proper divisors (3008317182582).

5820653235609 is an frugal number, since it uses more digits than its factorization.

5820653235609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 5820653235609 in words is "five trillion, eight hundred twenty billion, six hundred fifty-three million, two hundred thirty-five thousand, six hundred nine".