2611516609 has 9 divisors (see below), whose sum is σ = 2828574819. Its totient is φ = 2410017480.

The previous prime is 2611516519. The next prime is 2611516619. The reversal of 2611516609 is 9066151162.

The square root of 2611516609 is 51103.

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., 386319025 + 2225197584 = 19655^2 + 47172^2 .

It is not a de Polignac number, because 2611516609 - 2¹⁵ = 2611483841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2611516619) 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, 662374 + ... + 666304.

It is an arithmetic number, because the mean of its divisors is an integer number (314286091).

Almost surely, 2^2611516609 is an apocalyptic number.

2611516609 is the 51103-rd square number.

2611516609 is the 25552-nd centered octagonal number.

It is an amenable number.

2611516609 is a deficient number, since it is larger than the sum of its proper divisors (217058210).

2611516609 is an frugal number, since it uses more digits than its factorization.

2611516609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The cubic root of 2611516609 is about 1377.0961498943.

It can be divided in two parts, 26115 and 16609, that added together give a palindrome (42724).

The spelling of 2611516609 in words is "two billion, six hundred eleven million, five hundred sixteen thousand, six hundred nine".