252565600 has 216 divisors, whose sum is σ = 761435640. Its totient is φ = 81285120.

The previous prime is 252565571. The next prime is 252565609. The reversal of 252565600 is 6565252.

It is a super-3 number, since 3×252565600³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252565609) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 666211 + ... + 666589.

It is an arithmetic number, because the mean of its divisors is an integer number (3525165).

Almost surely, 2^252565600 is an apocalyptic number.

252565600 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 252565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380717820).

252565600 is an abundant number, since it is smaller than the sum of its proper divisors (508870040).

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

252565600 is a wasteful number, since it uses less digits than its factorization.

252565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 252565600 is about 15892.3126070437. The cubic root of 252565600 is about 632.1081639366.

The spelling of 252565600 in words is "two hundred fifty-two million, five hundred sixty-five thousand, six hundred".