252253191168 has 528 divisors, whose sum is σ = 830682163584. Its totient is φ = 75824087040.

The previous prime is 252253191163. The next prime is 252253191233. The reversal of 252253191168 is 861191352252.

252253191168 is a `hidden beast` number, since 2 + 5 + 22 + 531 + 91 + 1 + 6 + 8 = 666.

252253191168 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 (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252253191163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 429732571 + ... + 429733157.

Almost surely, 2^252253191168 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 252253191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415341081792).

252253191168 is an abundant number, since it is smaller than the sum of its proper divisors (578428972416).

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

252253191168 is a wasteful number, since it uses less digits than its factorization.

252253191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 760 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 252253191168 in words is "two hundred fifty-two billion, two hundred fifty-three million, one hundred ninety-one thousand, one hundred sixty-eight".