319443127249 has 27 divisors (see below), whose sum is σ = 341119842651. Its totient is φ = 299100135600.

The previous prime is 319443127181. The next prime is 319443127259. The reversal of 319443127249 is 942721344913.

The square root of 319443127249 is 565193.

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., 312989897025 + 6453230224 = 559455^2 + 80332^2 .

It is a de Polignac number, because none of the positive numbers 2^k-319443127249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (319443127259) 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 26 ways as a sum of consecutive naturals, for example, 1621538619 + ... + 1621538815.

Almost surely, 2^319443127249 is an apocalyptic number.

319443127249 is the 565193-rd square number.

319443127249 is the 282597-th centered octagonal number.

It is an amenable number.

319443127249 is a deficient number, since it is larger than the sum of its proper divisors (21676715402).

319443127249 is an frugal number, since it uses more digits than its factorization.

319443127249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

Multiplying 319443127249 by its sum of digits (49), we get a square (15652713235201 = 3956351²).

The spelling of 319443127249 in words is "three hundred nineteen billion, four hundred forty-three million, one hundred twenty-seven thousand, two hundred forty-nine".