252810024 has 16 divisors (see below), whose sum is σ = 632025120. Its totient is φ = 84270000.

The previous prime is 252810017. The next prime is 252810031. The reversal of 252810024 is 420018252.

252810024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252810017) and next prime (252810031).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10533751 = 252810024 / (2 + 5 + 2 + 8 + 1 + 0 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 252809976 and 252810003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5266852 + ... + 5266899.

It is an arithmetic number, because the mean of its divisors is an integer number (39501570).

Almost surely, 2^252810024 is an apocalyptic number.

252810024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252810024 is an abundant number, since it is smaller than the sum of its proper divisors (379215096).

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

252810024 is a wasteful number, since it uses less digits than its factorization.

252810024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10533760 (or 10533756 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 252810024 is about 15900.0007547170. Note that the first 3 decimals coincide. The cubic root of 252810024 is about 632.3120087885.

Subtracting from 252810024 its sum of digits (24), we obtain a square (252810000 = 15900²).

Adding to 252810024 its reverse (420018252), we get a palindrome (672828276).

The spelling of 252810024 in words is "two hundred fifty-two million, eight hundred ten thousand, twenty-four".