253051216 has 80 divisors (see below), whose sum is σ = 566660160. Its totient is φ = 108380160.

The previous prime is 253051181. The next prime is 253051217. The reversal of 253051216 is 612150352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253051217) by changing a digit.

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, 218896 + ... + 220048.

It is an arithmetic number, because the mean of its divisors is an integer number (7083252).

Almost surely, 2^253051216 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 253051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283330080).

253051216 is an abundant number, since it is smaller than the sum of its proper divisors (313608944).

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

253051216 is a wasteful number, since it uses less digits than its factorization.

253051216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 253051216 is about 15907.5836002832. The cubic root of 253051216 is about 632.5130294618.

The spelling of 253051216 in words is "two hundred fifty-three million, fifty-one thousand, two hundred sixteen".