52005152304 has 160 divisors (see below), whose sum is σ = 170686932480. Its totient is φ = 14850950400.

The previous prime is 52005152299. The next prime is 52005152323. The reversal of 52005152304 is 40325150025.

It is a happy number.

52005152304 is a `hidden beast` number, since 5 + 200 + 5 + 152 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8648659 + ... + 8654669.

It is an arithmetic number, because the mean of its divisors is an integer number (1066793328).

Almost surely, 2^52005152304 is an apocalyptic number.

52005152304 is a gapful number since it is divisible by the number (54) 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 52005152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85343466240).

52005152304 is an abundant number, since it is smaller than the sum of its proper divisors (118681780176).

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

52005152304 is a wasteful number, since it uses less digits than its factorization.

52005152304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 52005152304 in words is "fifty-two billion, five million, one hundred fifty-two thousand, three hundred four".