253515222120 has 256 divisors, whose sum is σ = 801584087040. Its totient is φ = 64060996608.

The previous prime is 253515222073. The next prime is 253515222137. The reversal of 253515222120 is 21222515352.

253515222120 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 (30).

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 63 ways as a sum of consecutive naturals, for example, 73120627 + ... + 73124093.

It is an arithmetic number, because the mean of its divisors is an integer number (3131187840).

Almost surely, 2^253515222120 is an apocalyptic number.

253515222120 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 253515222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400792043520).

253515222120 is an abundant number, since it is smaller than the sum of its proper divisors (548068864920).

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

253515222120 is a wasteful number, since it uses less digits than its factorization.

253515222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 253515222120 its reverse (21222515352), we get a palindrome (274737737472).

The spelling of 253515222120 in words is "two hundred fifty-three billion, five hundred fifteen million, two hundred twenty-two thousand, one hundred twenty".