252527880 has 128 divisors (see below), whose sum is σ = 834261120. Its totient is φ = 60641280.

The previous prime is 252527867. The next prime is 252527893. The reversal of 252527880 is 88725252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252527867) and next prime (252527893).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148314 + ... + 150006.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^252527880 is an apocalyptic number.

252527880 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 252527880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

252527880 is an abundant number, since it is smaller than the sum of its proper divisors (581733240).

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

252527880 is a wasteful number, since it uses less digits than its factorization.

252527880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 252527880 is about 15891.1258254411. The cubic root of 252527880 is about 632.0766944794.

The spelling of 252527880 in words is "two hundred fifty-two million, five hundred twenty-seven thousand, eight hundred eighty".