252355500 has 288 divisors, whose sum is σ = 864933888. Its totient is φ = 64152000.

The previous prime is 252355487. The next prime is 252355501. The reversal of 252355500 is 5553252.

252355500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252355501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3766467 + ... + 3766533.

Almost surely, 2^252355500 is an apocalyptic number.

252355500 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 252355500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432466944).

252355500 is an abundant number, since it is smaller than the sum of its proper divisors (612578388).

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

252355500 is a wasteful number, since it uses less digits than its factorization.

252355500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 252355500 is about 15885.7011176718. The cubic root of 252355500 is about 631.9328394958.

The spelling of 252355500 in words is "two hundred fifty-two million, three hundred fifty-five thousand, five hundred".