252231342300 has 432 divisors, whose sum is σ = 956942418432. Its totient is φ = 54321062400.

The previous prime is 252231342283. The next prime is 252231342317. The reversal of 252231342300 is 3243132252.

252231342300 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 313 + 42 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (252231342283) and next prime (252231342317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9695310 + ... + 9721290.

Almost surely, 2^252231342300 is an apocalyptic number.

252231342300 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 252231342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478471209216).

252231342300 is an abundant number, since it is smaller than the sum of its proper divisors (704711076132).

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

252231342300 is a wasteful number, since it uses less digits than its factorization.

252231342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26098 (or 26088 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 252231342300 its reverse (3243132252), we get a palindrome (255474474552).

The spelling of 252231342300 in words is "two hundred fifty-two billion, two hundred thirty-one million, three hundred forty-two thousand, three hundred".