1306316449 has 9 divisors (see below), whose sum is σ = 1336439667. Its totient is φ = 1276859904.

The previous prime is 1306316419. The next prime is 1306316467. The reversal of 1306316449 is 9446136031.

The square root of 1306316449 is 36143.

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., 511076449 + 795240000 = 22607^2 + 28200^2 .

It is not a de Polignac number, because 1306316449 - 2⁷ = 1306316321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306316419) 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, 1698337 + ... + 1699105.

Almost surely, 2^1306316449 is an apocalyptic number.

1306316449 is the 36143-rd square number.

1306316449 is the 18072-nd centered octagonal number.

It is an amenable number.

1306316449 is a deficient number, since it is larger than the sum of its proper divisors (30123218).

1306316449 is an frugal number, since it uses more digits than its factorization.

1306316449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 1306316449 is about 1093.1576503506.

Multiplying 1306316449 by its product of nonzero digits (46656), we get a square (60947500244544 = 7806888²).

The spelling of 1306316449 in words is "one billion, three hundred six million, three hundred sixteen thousand, four hundred forty-nine".