252133522000 has 160 divisors (see below), whose sum is σ = 616013858304. Its totient is φ = 99807552000.

The previous prime is 252133521979. The next prime is 252133522007. The reversal of 252133522000 is 225331252.

It is a super-2 number, since 2×252133522000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252133522007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85092519 + ... + 85095481.

Almost surely, 2^252133522000 is an apocalyptic number.

252133522000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252133522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308006929152).

252133522000 is an abundant number, since it is smaller than the sum of its proper divisors (363880336304).

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

252133522000 is a wasteful number, since it uses less digits than its factorization.

252133522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 252133522000 its reverse (225331252), we get a palindrome (252358853252).

The spelling of 252133522000 in words is "two hundred fifty-two billion, one hundred thirty-three million, five hundred twenty-two thousand".