252505550250 has 192 divisors, whose sum is σ = 695020828320. Its totient is φ = 66130560000.

The previous prime is 252505550221. The next prime is 252505550263. The reversal of 252505550250 is 52055505252.

252505550250 is a `hidden beast` number, since 2 + 5 + 2 + 50 + 5 + 550 + 2 + 50 = 666.

252505550250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 39524223249 + 212981327001 = 198807^2 + 461499^2 .

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 95 ways as a sum of consecutive naturals, for example, 146719390 + ... + 146721110.

Almost surely, 2^252505550250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252505550250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347510414160).

252505550250 is an abundant number, since it is smaller than the sum of its proper divisors (442515278070).

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

252505550250 is a wasteful number, since it uses less digits than its factorization.

252505550250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 125000, while the sum is 36.

The spelling of 252505550250 in words is "two hundred fifty-two billion, five hundred five million, five hundred fifty thousand, two hundred fifty".