252514332 has 144 divisors (see below), whose sum is σ = 801615360. Its totient is φ = 65349504.

The previous prime is 252514321. The next prime is 252514349. The reversal of 252514332 is 233415252.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 252514296 and 252514305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108978 + ... + 111270.

Almost surely, 2^252514332 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 252514332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400807680).

252514332 is an abundant number, since it is smaller than the sum of its proper divisors (549101028).

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

252514332 is a wasteful number, since it uses less digits than its factorization.

252514332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2347 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 252514332 is about 15890.6995440729. The cubic root of 252514332 is about 632.0653907398.

Adding to 252514332 its reverse (233415252), we get a palindrome (485929584).

The spelling of 252514332 in words is "two hundred fifty-two million, five hundred fourteen thousand, three hundred thirty-two".