253441135320144 has 80 divisors (see below), whose sum is σ = 689235069382272. Its totient is φ = 80092209455104.

The previous prime is 253441135320137. The next prime is 253441135320157. The reversal of 253441135320144 is 441023531144352.

It is a junction number, because it is equal to n+sod(n) for n = 253441135320096 and 253441135320105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015655097 + ... + 1015904600.

Almost surely, 2^{253441135320144} is an apocalyptic number.

253441135320144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253441135320144 is an abundant number, since it is smaller than the sum of its proper divisors (435793934062128).

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

253441135320144 is a wasteful number, since it uses less digits than its factorization.

253441135320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031559844 (or 2031559838 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 253441135320144 its reverse (441023531144352), we get a palindrome (694464666464496).

The spelling of 253441135320144 in words is "two hundred fifty-three trillion, four hundred forty-one billion, one hundred thirty-five million, three hundred twenty thousand, one hundred forty-four".