252133540 has 96 divisors (see below), whose sum is σ = 582220800. Its totient is φ = 91445760.

The previous prime is 252133537. The next prime is 252133547. The reversal of 252133540 is 45331252.

It is not an unprimeable number, because it can be changed into a prime (252133547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 665071 + ... + 665449.

It is an arithmetic number, because the mean of its divisors is an integer number (6064800).

Almost surely, 2^252133540 is an apocalyptic number.

252133540 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 252133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

252133540 is an abundant number, since it is smaller than the sum of its proper divisors (330087260).

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

252133540 is a wasteful number, since it uses less digits than its factorization.

252133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

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

The square root of 252133540 is about 15878.7134239522. The cubic root of 252133540 is about 631.7475123729.

Adding to 252133540 its reverse (45331252), we get a palindrome (297464792).

The spelling of 252133540 in words is "two hundred fifty-two million, one hundred thirty-three thousand, five hundred forty".