4802130585 has 144 divisors (see below), whose sum is σ = 10322544960. Its totient is φ = 2053175040.

The previous prime is 4802130563. The next prime is 4802130589. The reversal of 4802130585 is 5850312084.

It is a happy number.

4802130585 is a `hidden beast` number, since 48 + 0 + 2 + 1 + 30 + 585 = 666.

It is not a de Polignac number, because 4802130585 - 2⁶ = 4802130521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4802130589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3476595 + ... + 3477975.

It is an arithmetic number, because the mean of its divisors is an integer number (71684340).

Almost surely, 2^4802130585 is an apocalyptic number.

4802130585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4802130585 is an abundant number, since it is smaller than the sum of its proper divisors (5520414375).

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

4802130585 is a wasteful number, since it uses less digits than its factorization.

4802130585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4802130585 is about 69297.4067696620. The cubic root of 4802130585 is about 1687.1148777105.

It can be divided in two parts, 48021 and 30585, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 4802130585 in words is "four billion, eight hundred two million, one hundred thirty thousand, five hundred eighty-five".