2965129209 has 27 divisors (see below), whose sum is σ = 4984146063. Its totient is φ = 1693706112.

The previous prime is 2965129201. The next prime is 2965129213. The reversal of 2965129209 is 9029215692.

The square root of 2965129209 is 54453.

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., 1790559225 + 1174569984 = 42315^2 + 34272^2 .

It is not a de Polignac number, because 2965129209 - 2³ = 2965129201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2965129201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1142217 + ... + 1144809.

Almost surely, 2^2965129209 is an apocalyptic number.

2965129209 is the 54453-rd square number.

2965129209 is the 27227-th centered octagonal number.

It is an amenable number.

2965129209 is a deficient number, since it is larger than the sum of its proper divisors (2019016854).

2965129209 is an frugal number, since it uses more digits than its factorization.

2965129209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The cubic root of 2965129209 is about 1436.6397357572.

The spelling of 2965129209 in words is "two billion, nine hundred sixty-five million, one hundred twenty-nine thousand, two hundred nine".