252957706336 has 48 divisors (see below), whose sum is σ = 509585416704. Its totient is φ = 123559681024.

The previous prime is 252957706333. The next prime is 252957706361. The reversal of 252957706336 is 633607759252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252957706333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75105 + ... + 715231.

It is an arithmetic number, because the mean of its divisors is an integer number (10616362848).

Almost surely, 2^252957706336 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 252957706336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254792708352).

252957706336 is an abundant number, since it is smaller than the sum of its proper divisors (256627710368).

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

252957706336 is a wasteful number, since it uses less digits than its factorization.

252957706336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640423 (or 640415 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 55.

The spelling of 252957706336 in words is "two hundred fifty-two billion, nine hundred fifty-seven million, seven hundred six thousand, three hundred thirty-six".