252191232 has 120 divisors (see below), whose sum is σ = 755170416. Its totient is φ = 84022272.

The previous prime is 252191213. The next prime is 252191249. The reversal of 252191232 is 232191252.

It is a happy number.

252191232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252191232³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252191196 and 252191205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123403 + ... + 125429.

Almost surely, 2^252191232 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 252191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377585208).

252191232 is an abundant number, since it is smaller than the sum of its proper divisors (502979184).

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

252191232 is an frugal number, since it uses more digits than its factorization.

252191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2032 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 252191232 is about 15880.5299659678. The cubic root of 252191232 is about 631.7956931874.

The spelling of 252191232 in words is "two hundred fifty-two million, one hundred ninety-one thousand, two hundred thirty-two".