252530017300 has 288 divisors, whose sum is σ = 650017146240. Its totient is φ = 84115046400.

The previous prime is 252530017273. The next prime is 252530017403. The reversal of 252530017300 is 3710035252.

252530017300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 409286592 + ... + 409287208.

It is an arithmetic number, because the mean of its divisors is an integer number (2257003980).

Almost surely, 2^252530017300 is an apocalyptic number.

252530017300 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 252530017300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325008573120).

252530017300 is an abundant number, since it is smaller than the sum of its proper divisors (397487128940).

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

252530017300 is a wasteful number, since it uses less digits than its factorization.

252530017300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 252530017300 in words is "two hundred fifty-two billion, five hundred thirty million, seventeen thousand, three hundred".