252529000 has 64 divisors (see below), whose sum is σ = 622065600. Its totient is φ = 95688000.

The previous prime is 252528953. The next prime is 252529061. The reversal of 252529000 is 925252.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 12355 + ... + 25645.

It is an arithmetic number, because the mean of its divisors is an integer number (9719775).

Almost surely, 2^252529000 is an apocalyptic number.

252529000 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 252529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311032800).

252529000 is an abundant number, since it is smaller than the sum of its proper divisors (369536600).

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

252529000 is a wasteful number, since it uses less digits than its factorization.

252529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 252529000 is about 15891.1610651960. The cubic root of 252529000 is about 632.0776289305.

The spelling of 252529000 in words is "two hundred fifty-two million, five hundred twenty-nine thousand".