321125504 has 64 divisors (see below), whose sum is σ = 735216000. Its totient is φ = 136857600.

The previous prime is 321125503. The next prime is 321125507. The reversal of 321125504 is 405521123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 321125504.

It is not an unprimeable number, because it can be changed into a prime (321125503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177404 + ... + 179204.

It is an arithmetic number, because the mean of its divisors is an integer number (11487750).

Almost surely, 2^321125504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367608000).

321125504 is an abundant number, since it is smaller than the sum of its proper divisors (414090496).

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

321125504 is a wasteful number, since it uses less digits than its factorization.

321125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 321125504 is about 17919.9749999826. The cubic root of 321125504 is about 684.7913506637.

Adding to 321125504 its reverse (405521123), we get a palindrome (726646627).

The spelling of 321125504 in words is "three hundred twenty-one million, one hundred twenty-five thousand, five hundred four".