252528024 has 128 divisors (see below), whose sum is σ = 745920000. Its totient is φ = 69755904.

The previous prime is 252528011. The next prime is 252528037. The reversal of 252528024 is 420825252.

It is an interprime number because it is at equal distance from previous prime (252528011) and next prime (252528037).

It is a junction number, because it is equal to n+sod(n) for n = 252527982 and 252528000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723402 + ... + 723750.

It is an arithmetic number, because the mean of its divisors is an integer number (5827500).

Almost surely, 2^252528024 is an apocalyptic number.

252528024 is a gapful number since it is divisible by the number (24) 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 252528024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372960000).

252528024 is an abundant number, since it is smaller than the sum of its proper divisors (493391976).

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

252528024 is a wasteful number, since it uses less digits than its factorization.

252528024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 252528024 is about 15891.1303562711. The cubic root of 252528024 is about 632.0768146232.

The spelling of 252528024 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, twenty-four".