320504516325 has 288 divisors, whose sum is σ = 703534470912. Its totient is φ = 136401408000.

The previous prime is 320504516303. The next prime is 320504516369. The reversal of 320504516325 is 523615405023.

320504516325 is a `hidden beast` number, since 3 + 20 + 504 + 51 + 63 + 25 = 666.

It is not a de Polignac number, because 320504516325 - 2¹³ = 320504508133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 320504516325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126630310 + ... + 126632840.

It is an arithmetic number, because the mean of its divisors is an integer number (2442828024).

Almost surely, 2^320504516325 is an apocalyptic number.

320504516325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320504516325 is an abundant number, since it is smaller than the sum of its proper divisors (383029954587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320504516325 is a wasteful number, since it uses less digits than its factorization.

320504516325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 320504516325 in words is "three hundred twenty billion, five hundred four million, five hundred sixteen thousand, three hundred twenty-five".