252645096 has 80 divisors (see below), whose sum is σ = 695736000. Its totient is φ = 76452640.

The previous prime is 252645091. The next prime is 252645121. The reversal of 252645096 is 690546252.

It is not an unprimeable number, because it can be changed into a prime (252645091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351025 + ... + 351743.

It is an arithmetic number, because the mean of its divisors is an integer number (8696700).

Almost surely, 2^252645096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252645096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347868000).

252645096 is an abundant number, since it is smaller than the sum of its proper divisors (443090904).

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

252645096 is an equidigital number, since it uses as much as digits as its factorization.

252645096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 252645096 is about 15894.8134937155. The cubic root of 252645096 is about 632.1744764766.

The spelling of 252645096 in words is "two hundred fifty-two million, six hundred forty-five thousand, ninety-six".