252343343252 has 288 divisors, whose sum is σ = 620276590080. Its totient is φ = 88266689280.

The previous prime is 252343343251. The next prime is 252343343269.

252343343252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252343343251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155862899 + ... + 155864517.

It is an arithmetic number, because the mean of its divisors is an integer number (2153738160).

Almost surely, 2^252343343252 is an apocalyptic number.

252343343252 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 252343343252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310138295040).

252343343252 is an abundant number, since it is smaller than the sum of its proper divisors (367933246828).

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

252343343252 is a wasteful number, since it uses less digits than its factorization.

252343343252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 252343 and 343252, that added together give a palindrome (595595).

The spelling of 252343343252 in words is "two hundred fifty-two billion, three hundred forty-three million, three hundred forty-three thousand, two hundred fifty-two".