253005312 has 80 divisors (see below), whose sum is σ = 770343552. Its totient is φ = 72284160.

The previous prime is 253005293. The next prime is 253005317. The reversal of 253005312 is 213500352.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253005317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 22517.

Almost surely, 2^253005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385171776).

253005312 is an abundant number, since it is smaller than the sum of its proper divisors (517338240).

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

253005312 is an equidigital number, since it uses as much as digits as its factorization.

253005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23559 (or 23543 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253005312 is about 15906.1407009997. The cubic root of 253005312 is about 632.4747807699.

Adding to 253005312 its reverse (213500352), we get a palindrome (466505664).

The spelling of 253005312 in words is "two hundred fifty-three million, five thousand, three hundred twelve".