253286656 has 72 divisors (see below), whose sum is σ = 581019264. Its totient is φ = 107950080.

The previous prime is 253286653. The next prime is 253286659. The reversal of 253286656 is 656682352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253286653) and next prime (253286659).

It is not an unprimeable number, because it can be changed into a prime (253286653) 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 7 ways as a sum of consecutive naturals, for example, 503301 + ... + 503803.

It is an arithmetic number, because the mean of its divisors is an integer number (8069712).

Almost surely, 2^253286656 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 253286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290509632).

253286656 is an abundant number, since it is smaller than the sum of its proper divisors (327732608).

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

253286656 is an equidigital number, since it uses as much as digits as its factorization.

253286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The square root of 253286656 is about 15914.9821237726. The cubic root of 253286656 is about 632.7091329870.

The spelling of 253286656 in words is "two hundred fifty-three million, two hundred eighty-six thousand, six hundred fifty-six".