252527320352 has 96 divisors (see below), whose sum is σ = 545360739840. Its totient is φ = 114585661440.

The previous prime is 252527320337. The next prime is 252527320373. The reversal of 252527320352 is 253023725252.

252527320352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644299 + ... + 4698357.

It is an arithmetic number, because the mean of its divisors is an integer number (5680841040).

Almost surely, 2^252527320352 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 252527320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272680369920).

252527320352 is an abundant number, since it is smaller than the sum of its proper divisors (292833419488).

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

252527320352 is a wasteful number, since it uses less digits than its factorization.

252527320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54394 (or 54386 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 38.

The spelling of 252527320352 in words is "two hundred fifty-two billion, five hundred twenty-seven million, three hundred twenty thousand, three hundred fifty-two".