252681520056 has 256 divisors, whose sum is σ = 772175462400. Its totient is φ = 67348108800.

The previous prime is 252681520037. The next prime is 252681520097. The reversal of 252681520056 is 650025186252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146651211 + ... + 146652933.

It is an arithmetic number, because the mean of its divisors is an integer number (3016310400).

Almost surely, 2^252681520056 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 252681520056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386087731200).

252681520056 is an abundant number, since it is smaller than the sum of its proper divisors (519493942344).

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

252681520056 is a wasteful number, since it uses less digits than its factorization.

252681520056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 252681520056 in words is "two hundred fifty-two billion, six hundred eighty-one million, five hundred twenty thousand, fifty-six".