253642116 has 96 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 66605184.

The previous prime is 253642073. The next prime is 253642117. The reversal of 253642116 is 611246352.

It is not an unprimeable number, because it can be changed into a prime (253642117) 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, 391705 + ... + 392351.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^253642116 is an apocalyptic number.

253642116 is a gapful number since it is divisible by the number (26) 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 253642116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

253642116 is an abundant number, since it is smaller than the sum of its proper divisors (477923964).

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

253642116 is a wasteful number, since it uses less digits than its factorization.

253642116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 253642116 is about 15926.1456730748. The cubic root of 253642116 is about 633.0049738933.

Adding to 253642116 its reverse (611246352), we get a palindrome (864888468).

The spelling of 253642116 in words is "two hundred fifty-three million, six hundred forty-two thousand, one hundred sixteen".