252548235168 has 24 divisors (see below), whose sum is σ = 662939117568. Its totient is φ = 84182745024.

The previous prime is 252548235167. The next prime is 252548235169. The reversal of 252548235168 is 861532845252.

252548235168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252548235167) and next prime (252548235169).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×252548235168² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252548235168.

It is not an unprimeable number, because it can be changed into a prime (252548235167) 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 3 ways as a sum of consecutive naturals, for example, 1315355296 + ... + 1315355487.

It is an arithmetic number, because the mean of its divisors is an integer number (27622463232).

Almost surely, 2^252548235168 is an apocalyptic number.

It is an amenable number.

252548235168 is an abundant number, since it is smaller than the sum of its proper divisors (410390882400).

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

252548235168 is a wasteful number, since it uses less digits than its factorization.

252548235168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630710796 (or 2630710788 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The spelling of 252548235168 in words is "two hundred fifty-two billion, five hundred forty-eight million, two hundred thirty-five thousand, one hundred sixty-eight".