252521300 has 72 divisors (see below), whose sum is σ = 567984480. Its totient is φ = 97372800.

The previous prime is 252521293. The next prime is 252521303. The reversal of 252521300 is 3125252.

252521300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252521303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514055 + ... + 514545.

Almost surely, 2^252521300 is an apocalyptic number.

252521300 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 252521300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283992240).

252521300 is an abundant number, since it is smaller than the sum of its proper divisors (315463180).

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

252521300 is a wasteful number, since it uses less digits than its factorization.

252521300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 252521300 is about 15890.9187903028. The cubic root of 252521300 is about 632.0712045235.

Adding to 252521300 its reverse (3125252), we get a palindrome (255646552).

The spelling of 252521300 in words is "two hundred fifty-two million, five hundred twenty-one thousand, three hundred".