3165541964809 has 27 divisors (see below), whose sum is σ = 3697187517927. Its totient is φ = 2702443673664.

The previous prime is 3165541964801. The next prime is 3165541964821. The reversal of 3165541964809 is 9084691455613.

It is a happy number.

The square root of 3165541964809 is 1779197.

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., 354983598025 + 2810558366784 = 595805^2 + 1676472^2 .

It is not a de Polignac number, because 3165541964809 - 2³ = 3165541964801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3165541964801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5392745814 + ... + 5392746400.

Almost surely, 2^{3165541964809} is an apocalyptic number.

3165541964809 is the 1779197-th square number.

3165541964809 is the 889599-th centered octagonal number.

It is an amenable number.

3165541964809 is a deficient number, since it is larger than the sum of its proper divisors (531645553118).

3165541964809 is an frugal number, since it uses more digits than its factorization.

3165541964809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 3165541964809 in words is "three trillion, one hundred sixty-five billion, five hundred forty-one million, nine hundred sixty-four thousand, eight hundred nine".