252524000 has 48 divisors (see below), whose sum is σ = 620461296. Its totient is φ = 101008000.

The previous prime is 252523991. The next prime is 252524021. The reversal of 252524000 is 425252.

252524000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27566 + ... + 35565.

It is an arithmetic number, because the mean of its divisors is an integer number (12926277).

Almost surely, 2^252524000 is an apocalyptic number.

252524000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252524000 is an abundant number, since it is smaller than the sum of its proper divisors (367937296).

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

252524000 is an equidigital number, since it uses as much as digits as its factorization.

252524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63156 (or 63138 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 252524000 is about 15891.0037442573. The cubic root of 252524000 is about 632.0734572525.

Adding to 252524000 its reverse (425252), we get a palindrome (252949252).

The spelling of 252524000 in words is "two hundred fifty-two million, five hundred twenty-four thousand".