252033006144 has 56 divisors (see below), whose sum is σ = 667314692800. Its totient is φ = 83950861824.

The previous prime is 252033006103. The next prime is 252033006149. The reversal of 252033006144 is 441600330252.

252033006144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252033006149) 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 7 ways as a sum of consecutive naturals, for example, 200539 + ... + 737754.

It is an arithmetic number, because the mean of its divisors is an integer number (11916333800).

Almost surely, 2^252033006144 is an apocalyptic number.

252033006144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252033006144 is an abundant number, since it is smaller than the sum of its proper divisors (415281686656).

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

252033006144 is a wasteful number, since it uses less digits than its factorization.

252033006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939707 (or 939697 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 252033006144 its reverse (441600330252), we get a palindrome (693633336396).

The spelling of 252033006144 in words is "two hundred fifty-two billion, thirty-three million, six thousand, one hundred forty-four".