252820453500 has 384 divisors, whose sum is σ = 847981854720. Its totient is φ = 64967616000.

The previous prime is 252820453481. The next prime is 252820453537. The reversal of 252820453500 is 5354028252.

It is a happy number.

252820453500 is a `hidden beast` number, since 25 + 2 + 82 + 0 + 4 + 53 + 500 = 666.

252820453500 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110064352 + ... + 110066648.

It is an arithmetic number, because the mean of its divisors is an integer number (2208286080).

Almost surely, 2^252820453500 is an apocalyptic number.

252820453500 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 252820453500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423990927360).

252820453500 is an abundant number, since it is smaller than the sum of its proper divisors (595161401220).

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

252820453500 is a wasteful number, since it uses less digits than its factorization.

252820453500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 252820453500 in words is "two hundred fifty-two billion, eight hundred twenty million, four hundred fifty-three thousand, five hundred".