253725312 has 64 divisors (see below), whose sum is σ = 676431360. Its totient is φ = 84264960.

The previous prime is 253725301. The next prime is 253725313. The reversal of 253725312 is 213527352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 253725312.

It is not an unprimeable number, because it can be changed into a prime (253725313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119137 + ... + 121247.

It is an arithmetic number, because the mean of its divisors is an integer number (10569240).

Almost surely, 2^253725312 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 253725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338215680).

253725312 is an abundant number, since it is smaller than the sum of its proper divisors (422706048).

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

253725312 is a wasteful number, since it uses less digits than its factorization.

253725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 253725312 is about 15928.7573903302. The cubic root of 253725312 is about 633.0741760244.

The spelling of 253725312 in words is "two hundred fifty-three million, seven hundred twenty-five thousand, three hundred twelve".