252578250 has 80 divisors (see below), whose sum is σ = 706377672. Its totient is φ = 67348800.

The previous prime is 252578239. The next prime is 252578251. The reversal of 252578250 is 52875252.

252578250 is a `hidden beast` number, since 2 + 525 + 7 + 82 + 50 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98545329 + 154032921 = 9927^2 + 12411^2 .

It is not an unprimeable number, because it can be changed into a prime (252578251) 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 39 ways as a sum of consecutive naturals, for example, 14014 + ... + 26486.

Almost surely, 2^252578250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252578250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353188836).

252578250 is an abundant number, since it is smaller than the sum of its proper divisors (453799422).

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

252578250 is a wasteful number, since it uses less digits than its factorization.

252578250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12502 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 252578250 is about 15892.7105932248. The cubic root of 252578250 is about 632.1187170163.

The spelling of 252578250 in words is "two hundred fifty-two million, five hundred seventy-eight thousand, two hundred fifty".