252000000000 has 720 divisors, whose sum is σ = 1039745987280. Its totient is φ = 57600000000.

The previous prime is 251999999971. The next prime is 252000000011. The reversal of 252000000000 is 252.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35999999997 + ... + 36000000003.

It is an arithmetic number, because the mean of its divisors is an integer number (1444091649).

Almost surely, 2^252000000000 is an apocalyptic number.

252000000000 is a gapful number since it is divisible by the number (20) 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 252000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519872993640).

252000000000 is an abundant number, since it is smaller than the sum of its proper divisors (787745987280).

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

252000000000 is an frugal number, since it uses more digits than its factorization.

252000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

Adding to 252000000000 its reverse (252), we get a palindrome (252000000252).

252000000000 divided by its reverse (252) gives a 9-th power (1000000000 = 10⁹).

The spelling of 252000000000 in words is "two hundred fifty-two billion", and thus it is an aban number.