253226560 has 56 divisors (see below), whose sum is σ = 638479800. Its totient is φ = 95330304.

The previous prime is 253226503. The next prime is 253226581. The reversal of 253226560 is 65622352.

It can be written as a sum of positive squares in 4 ways, for example, as 124902976 + 128323584 = 11176^2 + 11328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17835 + ... + 28714.

It is an arithmetic number, because the mean of its divisors is an integer number (11401425).

Almost surely, 2^253226560 is an apocalyptic number.

253226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253226560 is an abundant number, since it is smaller than the sum of its proper divisors (385253240).

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

253226560 is a wasteful number, since it uses less digits than its factorization.

253226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46583 (or 46573 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 253226560 is about 15913.0939794875. The cubic root of 253226560 is about 632.6590891668.

It can be divided in two parts, 2532 and 26560, that added together give a palindrome (29092).

The spelling of 253226560 in words is "two hundred fifty-three million, two hundred twenty-six thousand, five hundred sixty".