253123331120 has 40 divisors (see below), whose sum is σ = 642012814800. Its totient is φ = 92044847360.

The previous prime is 253123331119. The next prime is 253123331311. The reversal of 253123331120 is 21133321352.

253123331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 253123331120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143819195 + ... + 143820954.

It is an arithmetic number, because the mean of its divisors is an integer number (16050320370).

Almost surely, 2^253123331120 is an apocalyptic number.

253123331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253123331120 is an abundant number, since it is smaller than the sum of its proper divisors (388889483680).

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

253123331120 is a wasteful number, since it uses less digits than its factorization.

253123331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287640173 (or 287640167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 253123331120 its reverse (21133321352), we get a palindrome (274256652472).

The spelling of 253123331120 in words is "two hundred fifty-three billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty".