319152684097 has 16 divisors (see below), whose sum is σ = 345270573648. Its totient is φ = 293259432960.

The previous prime is 319152684089. The next prime is 319152684107. The reversal of 319152684097 is 790486251913.

It is a happy number.

It is a Cunningham number, because it is equal to 564936²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 595164816 + 318557519281 = 24396^2 + 564409^2 .

It is not a de Polignac number, because 319152684097 - 2³ = 319152684089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (319152684197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13379293 + ... + 13403125.

It is an arithmetic number, because the mean of its divisors is an integer number (21579410853).

It is a 1-persistent number, because it is pandigital, but 2⋅319152684097 = 638305368194 is not.

Almost surely, 2^319152684097 is an apocalyptic number.

It is an amenable number.

319152684097 is a deficient number, since it is larger than the sum of its proper divisors (26117889551).

319152684097 is a wasteful number, since it uses less digits than its factorization.

319152684097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28500.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 319152684097 in words is "three hundred nineteen billion, one hundred fifty-two million, six hundred eighty-four thousand, ninety-seven".