319825311961 has 27 divisors (see below), whose sum is σ = 332285748093. Its totient is φ = 307829833920.

The previous prime is 319825311929. The next prime is 319825312003. The reversal of 319825311961 is 169113528913.

It is a happy number.

The square root of 319825311961 is 565531.

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 83477655625 + 236347656336 = 288925^2 + 486156^2 .

It is not a de Polignac number, because 319825311961 - 2⁵ = 319825311929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (319825311901) 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, 2518309480 + ... + 2518309606.

It is an arithmetic number, because the mean of its divisors is an integer number (12306879559).

Almost surely, 2^319825311961 is an apocalyptic number.

319825311961 is the 565531-st square number.

319825311961 is the 282766-th centered octagonal number.

It is an amenable number.

319825311961 is a deficient number, since it is larger than the sum of its proper divisors (12460436132).

319825311961 is an frugal number, since it uses more digits than its factorization.

319825311961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its digits is 349920, while the sum is 49.

Multiplying 319825311961 by its sum of digits (49), we get a square (15671440286089 = 3958717²).

The spelling of 319825311961 in words is "three hundred nineteen billion, eight hundred twenty-five million, three hundred eleven thousand, nine hundred sixty-one".