253121140320 has 192 divisors, whose sum is σ = 840675386880. Its totient is φ = 63841333248.

The previous prime is 253121140247. The next prime is 253121140343. The reversal of 253121140320 is 23041121352.

253121140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5604549 + ... + 5649531.

It is an arithmetic number, because the mean of its divisors is an integer number (4378517640).

Almost surely, 2^253121140320 is an apocalyptic number.

253121140320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253121140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420337693440).

253121140320 is an abundant number, since it is smaller than the sum of its proper divisors (587554246560).

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

253121140320 is a wasteful number, since it uses less digits than its factorization.

253121140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45637 (or 45629 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 253121140320 its reverse (23041121352), we get a palindrome (276162261672).

The spelling of 253121140320 in words is "two hundred fifty-three billion, one hundred twenty-one million, one hundred forty thousand, three hundred twenty".