252050131120 has 80 divisors (see below), whose sum is σ = 592837993440. Its totient is φ = 99649216512.

The previous prime is 252050131097. The next prime is 252050131127. The reversal of 252050131120 is 21131050252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 252050131091 and 252050131100.

It is not an unprimeable number, because it can be changed into a prime (252050131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5977471 + ... + 6019489.

It is an arithmetic number, because the mean of its divisors is an integer number (7410474918).

Almost surely, 2^252050131120 is an apocalyptic number.

252050131120 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 252050131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296418996720).

252050131120 is an abundant number, since it is smaller than the sum of its proper divisors (340787862320).

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

252050131120 is a wasteful number, since it uses less digits than its factorization.

252050131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42902 (or 42896 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 252050131120 its reverse (21131050252), we get a palindrome (273181181372).

The spelling of 252050131120 in words is "two hundred fifty-two billion, fifty million, one hundred thirty-one thousand, one hundred twenty".