5966065157809 has 9 divisors (see below), whose sum is σ = 5980935681729. Its totient is φ = 5951231533440.

The previous prime is 5966065157771. The next prime is 5966065157893. The reversal of 5966065157809 is 9087515606695.

The square root of 5966065157809 is 2442553.

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 323197935025 + 5642867222784 = 568505^2 + 2375472^2 .

It is not a de Polignac number, because 5966065157809 - 2³¹ = 5963917674161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5966065157209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1057622629 + ... + 1057628269.

It is an arithmetic number, because the mean of its divisors is an integer number (664548409081).

Almost surely, 2^{5966065157809} is an apocalyptic number.

5966065157809 is the 2442553-rd square number.

5966065157809 is the 1221277-th centered octagonal number.

It is an amenable number.

5966065157809 is a deficient number, since it is larger than the sum of its proper divisors (14870523920).

5966065157809 is an frugal number, since it uses more digits than its factorization.

5966065157809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12148 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 67.

The spelling of 5966065157809 in words is "five trillion, nine hundred sixty-six billion, sixty-five million, one hundred fifty-seven thousand, eight hundred nine".