319531303441 has 27 divisors (see below), whose sum is σ = 388673882793. Its totient is φ = 261901359720.

The previous prime is 319531303379. The next prime is 319531303457. The reversal of 319531303441 is 144303135913.

The square root of 319531303441 is 565271.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 319531303441 - 2¹⁵ = 319531270673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 319531303441.

It is not an unprimeable number, because it can be changed into a prime (319531303241) 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, 91006876 + ... + 91010386.

Almost surely, 2^319531303441 is an apocalyptic number.

319531303441 is the 565271-st square number.

319531303441 is the 282636-th centered octagonal number.

It is an amenable number.

319531303441 is a deficient number, since it is larger than the sum of its proper divisors (69142579352).

319531303441 is an frugal number, since it uses more digits than its factorization.

319531303441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 319531303441 in words is "three hundred nineteen billion, five hundred thirty-one million, three hundred three thousand, four hundred forty-one".