253116101328 has 80 divisors (see below), whose sum is σ = 658886400000. Its totient is φ = 83728408960.

The previous prime is 253116101321. The next prime is 253116101339. The reversal of 253116101328 is 823101611352.

253116101328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253116101321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4188673 + ... + 4248671.

It is an arithmetic number, because the mean of its divisors is an integer number (8236080000).

Almost surely, 2^253116101328 is an apocalyptic number.

It is an amenable number.

253116101328 is an abundant number, since it is smaller than the sum of its proper divisors (405770298672).

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

253116101328 is a wasteful number, since it uses less digits than its factorization.

253116101328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60680 (or 60674 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 253116101328 in words is "two hundred fifty-three billion, one hundred sixteen million, one hundred one thousand, three hundred twenty-eight".