321315527260 has 576 divisors, whose sum is σ = 925620756480. Its totient is φ = 92543109120.

The previous prime is 321315527227. The next prime is 321315527261. The reversal of 321315527260 is 62725513123.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321315527261) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 693985789 + ... + 693986251.

It is an arithmetic number, because the mean of its divisors is an integer number (1606980480).

Almost surely, 2^321315527260 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 321315527260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462810378240).

321315527260 is an abundant number, since it is smaller than the sum of its proper divisors (604305229220).

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

321315527260 is a wasteful number, since it uses less digits than its factorization.

321315527260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 321315527260 in words is "three hundred twenty-one billion, three hundred fifteen million, five hundred twenty-seven thousand, two hundred sixty".