253512500 has 72 divisors (see below), whose sum is σ = 587634264. Its totient is φ = 95360000.

The previous prime is 253512473. The next prime is 253512521. The reversal of 253512500 is 5215352.

253512500 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 12 ways, for example, as 244234384 + 9278116 = 15628^2 + 3046^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211904 + ... + 213096.

It is an arithmetic number, because the mean of its divisors is an integer number (8161587).

Almost surely, 2^253512500 is an apocalyptic number.

253512500 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 253512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293817132).

253512500 is an abundant number, since it is smaller than the sum of its proper divisors (334121764).

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

253512500 is a wasteful number, since it uses less digits than its factorization.

253512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 253512500 is about 15922.0758696848. The cubic root of 253512500 is about 632.8971296153.

Adding to 253512500 its reverse (5215352), we get a palindrome (258727852).

The spelling of 253512500 in words is "two hundred fifty-three million, five hundred twelve thousand, five hundred".