252693056 has 112 divisors (see below), whose sum is σ = 639055872. Its totient is φ = 96268800.

The previous prime is 252693053. The next prime is 252693071. The reversal of 252693056 is 650396252.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (252693053) 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 15 ways as a sum of consecutive naturals, for example, 231071 + ... + 232161.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^252693056 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 252693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

252693056 is an abundant number, since it is smaller than the sum of its proper divisors (386362816).

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

252693056 is a wasteful number, since it uses less digits than its factorization.

252693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 252693056 is about 15896.3220903453. The cubic root of 252693056 is about 632.2144761574.

The spelling of 252693056 in words is "two hundred fifty-two million, six hundred ninety-three thousand, fifty-six".