253088500 has 96 divisors (see below), whose sum is σ = 636959232. Its totient is φ = 86054400.

The previous prime is 253088489. The next prime is 253088509. The reversal of 253088500 is 5880352.

253088500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

253088500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253088509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584284 + ... + 584716.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^253088500 is an apocalyptic number.

253088500 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 253088500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318479616).

253088500 is an abundant number, since it is smaller than the sum of its proper divisors (383870732).

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

253088500 is a wasteful number, since it uses less digits than its factorization.

253088500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 253088500 is about 15908.7554510087. The cubic root of 253088500 is about 632.5440922878.

The spelling of 253088500 in words is "two hundred fifty-three million, eighty-eight thousand, five hundred".