2611312201 has 9 divisors (see below), whose sum is σ = 2637583221. Its totient is φ = 2585301792.

The previous prime is 2611312169. The next prime is 2611312247. The reversal of 2611312201 is 1022131162.

The square root of 2611312201 is 51101.

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 44876601 + 2566435600 = 6699^2 + 50660^2 .

It is not a de Polignac number, because 2611312201 - 2⁵ = 2611312169 is a prime.

It is a super-2 number, since 2×2611312201² = 13637902822182928802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2611312261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7000651 + ... + 7001023.

Almost surely, 2^2611312201 is an apocalyptic number.

2611312201 is the 51101-st square number.

2611312201 is the 25551-st centered octagonal number.

It is an amenable number.

2611312201 is a deficient number, since it is larger than the sum of its proper divisors (26271020).

2611312201 is an frugal number, since it uses more digits than its factorization.

2611312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 2611312201 is about 1377.0602197106.

Multiplying 2611312201 by its product of nonzero digits (144), we get a square (376028956944 = 613212²).

Adding to 2611312201 its reverse (1022131162), we get a palindrome (3633443363).

The spelling of 2611312201 in words is "two billion, six hundred eleven million, three hundred twelve thousand, two hundred one".