252100000 has 72 divisors (see below), whose sum is σ = 620608716. Its totient is φ = 100800000.

The previous prime is 252099997. The next prime is 252100001. The reversal of 252100000 is 1252.

252100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 112954384 + 139145616 = 10628^2 + 11796^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 252100000.

It is not an unprimeable number, because it can be changed into a prime (252100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98740 + ... + 101260.

Almost surely, 2^252100000 is an apocalyptic number.

252100000 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 252100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310304358).

252100000 is an abundant number, since it is smaller than the sum of its proper divisors (368508716).

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

252100000 is an frugal number, since it uses more digits than its factorization.

252100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 252100000 is about 15877.6572579206. The cubic root of 252100000 is about 631.7194984466.

Adding to 252100000 its reverse (1252), we get a palindrome (252101252).

The spelling of 252100000 in words is "two hundred fifty-two million, one hundred thousand".