252533221104 has 40 divisors (see below), whose sum is σ = 670009316560. Its totient is φ = 81902665728.

The previous prime is 252533221099. The next prime is 252533221151. The reversal of 252533221104 is 401122335252.

252533221104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252533221104² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 71094289 + ... + 71097840.

It is an arithmetic number, because the mean of its divisors is an integer number (16750232914).

Almost surely, 2^252533221104 is an apocalyptic number.

252533221104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252533221104 is an abundant number, since it is smaller than the sum of its proper divisors (417476095456).

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

252533221104 is a wasteful number, since it uses less digits than its factorization.

252533221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142192177 (or 142192171 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 252533221104 its reverse (401122335252), we get a palindrome (653655556356).

The spelling of 252533221104 in words is "two hundred fifty-two billion, five hundred thirty-three million, two hundred twenty-one thousand, one hundred four".