252789552 has 80 divisors (see below), whose sum is σ = 727498080. Its totient is φ = 84043008.

The previous prime is 252789529. The next prime is 252789599. The reversal of 252789552 is 255987252.

252789552 is a `hidden beast` number, since 25 + 2 + 78 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252789498 and 252789507.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 326638 + ... + 327410.

It is an arithmetic number, because the mean of its divisors is an integer number (9093726).

Almost surely, 2^252789552 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 252789552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363749040).

252789552 is an abundant number, since it is smaller than the sum of its proper divisors (474708528).

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

252789552 is a wasteful number, since it uses less digits than its factorization.

252789552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 252789552 is about 15899.3569681292. The cubic root of 252789552 is about 632.2949405823.

The spelling of 252789552 in words is "two hundred fifty-two million, seven hundred eighty-nine thousand, five hundred fifty-two".