252333525333252 has 144 divisors (see below), whose sum is σ = 658244319264000. Its totient is φ = 75156598545600.

The previous prime is 252333525333251. The next prime is 252333525333269.

252333525333252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (252333525333251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539388927 + ... + 539856537.

It is an arithmetic number, because the mean of its divisors is an integer number (4571141106000).

Almost surely, 2^{252333525333252} is an apocalyptic number.

252333525333252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252333525333252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329122159632000).

252333525333252 is an abundant number, since it is smaller than the sum of its proper divisors (405910793930748).

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

252333525333252 is a wasteful number, since it uses less digits than its factorization.

252333525333252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473998 (or 473985 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 48.

The spelling of 252333525333252 in words is "two hundred fifty-two trillion, three hundred thirty-three billion, five hundred twenty-five million, three hundred thirty-three thousand, two hundred fifty-two".