252782500 has 30 divisors (see below), whose sum is σ = 552790238. Its totient is φ = 101112000.

The previous prime is 252782477. The next prime is 252782501. The reversal of 252782500 is 5287252.

It can be written as a sum of positive squares in 5 ways, for example, as 182088036 + 70694464 = 13494^2 + 8408^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (252782501) by changing a digit.

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, 48057 + ... + 53056.

Almost surely, 2^252782500 is an apocalyptic number.

252782500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252782500 is an abundant number, since it is smaller than the sum of its proper divisors (300007738).

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

252782500 is a wasteful number, since it uses less digits than its factorization.

252782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101137 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 252782500 is about 15899.1351966074. The cubic root of 252782500 is about 632.2890608754.

The spelling of 252782500 in words is "two hundred fifty-two million, seven hundred eighty-two thousand, five hundred".