252530000 has 50 divisors (see below), whose sum is σ = 611424594. Its totient is φ = 101008000.

The previous prime is 252529973. The next prime is 252530017. The reversal of 252530000 is 35252.

It can be written as a sum of positive squares in 5 ways, for example, as 36675136 + 215854864 = 6056^2 + 14692^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 2627 + ... + 22626.

Almost surely, 2^252530000 is an apocalyptic number.

252530000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252530000 is an abundant number, since it is smaller than the sum of its proper divisors (358894594).

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

252530000 is an equidigital number, since it uses as much as digits as its factorization.

252530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 252530000 is about 15891.1925291968. The cubic root of 252530000 is about 632.0784632594.

Adding to 252530000 its reverse (35252), we get a palindrome (252565252).

The spelling of 252530000 in words is "two hundred fifty-two million, five hundred thirty thousand".