4613253120 has 288 divisors, whose sum is σ = 18275362560. Its totient is φ = 1054310400.

The previous prime is 4613253103. The next prime is 4613253121. The reversal of 4613253120 is 213523164.

4613253120 is a `hidden beast` number, since 4 + 613 + 25 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4613253121) 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 23 ways as a sum of consecutive naturals, for example, 641545 + ... + 648695.

It is an arithmetic number, because the mean of its divisors is an integer number (63456120).

Almost surely, 2^4613253120 is an apocalyptic number.

4613253120 is a gapful number since it is divisible by the number (40) 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 4613253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137681280).

4613253120 is an abundant number, since it is smaller than the sum of its proper divisors (13662109440).

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

4613253120 is a wasteful number, since it uses less digits than its factorization.

4613253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4613253120 is about 67920.9328557846. The cubic root of 4613253120 is about 1664.6991637845.

Adding to 4613253120 its reverse (213523164), we get a palindrome (4826776284).

The spelling of 4613253120 in words is "four billion, six hundred thirteen million, two hundred fifty-three thousand, one hundred twenty".