252535424 has 48 divisors (see below), whose sum is σ = 520103610. Its totient is φ = 122135040.

The previous prime is 252535379. The next prime is 252535447. The reversal of 252535424 is 424535252.

It can be written as a sum of positive squares in only one way, i.e., 214095424 + 38440000 = 14632^2 + 6200^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 121982 + ... + 124034.

Almost surely, 2^252535424 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 252535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260051805).

252535424 is an abundant number, since it is smaller than the sum of its proper divisors (267568186).

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

252535424 is an equidigital number, since it uses as much as digits as its factorization.

252535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2086 counting only the distinct ones).

The product of its digits is 48000, while the sum is 32.

The square root of 252535424 is about 15891.3631888520. The cubic root of 252535424 is about 632.0829886215.

The spelling of 252535424 in words is "two hundred fifty-two million, five hundred thirty-five thousand, four hundred twenty-four".