4835313000 has 768 divisors, whose sum is σ = 20185251840. Its totient is φ = 1020096000.

The previous prime is 4835312981. The next prime is 4835313019. The reversal of 4835313000 is 3135384.

It is a happy number.

4835313000 is a `hidden beast` number, since 4 + 8 + 353 + 1 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4835312981) and next prime (4835313019).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 68102965 + ... + 68103035.

It is an arithmetic number, because the mean of its divisors is an integer number (26282880).

Almost surely, 2^4835313000 is an apocalyptic number.

4835313000 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 4835313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092625920).

4835313000 is an abundant number, since it is smaller than the sum of its proper divisors (15349938840).

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

4835313000 is a wasteful number, since it uses less digits than its factorization.

4835313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

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

The square root of 4835313000 is about 69536.4149205292. The cubic root of 4835313000 is about 1690.9919132957.

Adding to 4835313000 its reverse (3135384), we get a palindrome (4838448384).

The spelling of 4835313000 in words is "four billion, eight hundred thirty-five million, three hundred thirteen thousand".