253133600 has 144 divisors (see below), whose sum is σ = 652458240. Its totient is φ = 95769600.

The previous prime is 253133593. The next prime is 253133603. The reversal of 253133600 is 6331352.

It is not an unprimeable number, because it can be changed into a prime (253133603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463114 + ... + 1463286.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^253133600 is an apocalyptic number.

253133600 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 253133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326229120).

253133600 is an abundant number, since it is smaller than the sum of its proper divisors (399324640).

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

253133600 is a wasteful number, since it uses less digits than its factorization.

253133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 253133600 is about 15910.1728463270. The cubic root of 253133600 is about 632.5816628665.

Adding to 253133600 its reverse (6331352), we get a palindrome (259464952).

The spelling of 253133600 in words is "two hundred fifty-three million, one hundred thirty-three thousand, six hundred".