252552800 has 36 divisors (see below), whose sum is σ = 616546476. Its totient is φ = 101020800.

The previous prime is 252552767. The next prime is 252552827. The reversal of 252552800 is 8255252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157046 + ... + 158645.

It is an arithmetic number, because the mean of its divisors is an integer number (17126291).

Almost surely, 2^252552800 is an apocalyptic number.

252552800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252552800 is an abundant number, since it is smaller than the sum of its proper divisors (363993676).

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

252552800 is a wasteful number, since it uses less digits than its factorization.

252552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315711 (or 315698 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 252552800 is about 15891.9098915140. The cubic root of 252552800 is about 632.0974853628.

It can be divided in two parts, 252552 and 800, that added together give a palindrome (253352).

The spelling of 252552800 in words is "two hundred fifty-two million, five hundred fifty-two thousand, eight hundred".