5153040812304 has 480 divisors, whose sum is σ = 18096443539200. Its totient is φ = 1329793597440.

The previous prime is 5153040812299. The next prime is 5153040812369. The reversal of 5153040812304 is 4032180403515.

5153040812304 is a `hidden beast` number, since 5 + 1 + 530 + 40 + 81 + 2 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×5153040812304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3015236602 + ... + 3015238310.

It is an arithmetic number, because the mean of its divisors is an integer number (37700924040).

Almost surely, 2^{5153040812304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153040812304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048221769600).

5153040812304 is an abundant number, since it is smaller than the sum of its proper divisors (12943402726896).

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

5153040812304 is a wasteful number, since it uses less digits than its factorization.

5153040812304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5153040812304 in words is "five trillion, one hundred fifty-three billion, forty million, eight hundred twelve thousand, three hundred four".