252505552 has 80 divisors (see below), whose sum is σ = 558870480. Its totient is φ = 109670400.

The previous prime is 252505543. The next prime is 252505577. The reversal of 252505552 is 255505252.

It can be written as a sum of positive squares in 8 ways, for example, as 42719296 + 209786256 = 6536^2 + 14484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246802 + ... + 247822.

It is an arithmetic number, because the mean of its divisors is an integer number (6985881).

Almost surely, 2^252505552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279435240).

252505552 is an abundant number, since it is smaller than the sum of its proper divisors (306364928).

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

252505552 is a wasteful number, since it uses less digits than its factorization.

252505552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 31.

The square root of 252505552 is about 15890.4232794473. The cubic root of 252505552 is about 632.0580649530.

The spelling of 252505552 in words is "two hundred fifty-two million, five hundred five thousand, five hundred fifty-two".