253313466224 has 240 divisors, whose sum is σ = 651563297280. Its totient is φ = 94297996800.

The previous prime is 253313466187. The next prime is 253313466251. The reversal of 253313466224 is 422664313352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29236517 + ... + 29245179.

It is an arithmetic number, because the mean of its divisors is an integer number (2714847072).

Almost surely, 2^253313466224 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 253313466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325781648640).

253313466224 is an abundant number, since it is smaller than the sum of its proper divisors (398249831056).

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

253313466224 is a wasteful number, since it uses less digits than its factorization.

253313466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8855 counting only the distinct ones).

The product of its digits is 622080, while the sum is 41.

Adding to 253313466224 its reverse (422664313352), we get a palindrome (675977779576).

The spelling of 253313466224 in words is "two hundred fifty-three billion, three hundred thirteen million, four hundred sixty-six thousand, two hundred twenty-four".