253138116 has 96 divisors (see below), whose sum is σ = 751564800. Its totient is φ = 65738400.

The previous prime is 253138111. The next prime is 253138117. The reversal of 253138116 is 611831352.

It is not an unprimeable number, because it can be changed into a prime (253138111) 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 31 ways as a sum of consecutive naturals, for example, 42481 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (7828800).

Almost surely, 2^253138116 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 253138116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375782400).

253138116 is an abundant number, since it is smaller than the sum of its proper divisors (498426684).

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

253138116 is a wasteful number, since it uses less digits than its factorization.

253138116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5614 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 253138116 is about 15910.3147674708. The cubic root of 253138116 is about 632.5854246768.

Adding to 253138116 its reverse (611831352), we get a palindrome (864969468).

The spelling of 253138116 in words is "two hundred fifty-three million, one hundred thirty-eight thousand, one hundred sixteen".