5113330514040 has 384 divisors, whose sum is σ = 18148314159360. Its totient is φ = 1148966332416.

The previous prime is 5113330513997. The next prime is 5113330514059. The reversal of 5113330514040 is 404150333115.

It is a super-2 number, since 2×5113330514040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5113330513989 and 5113330514007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131757279 + ... + 131796081.

It is an arithmetic number, because the mean of its divisors is an integer number (47261234790).

Almost surely, 2^{5113330514040} 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 5113330514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074157079680).

5113330514040 is an abundant number, since it is smaller than the sum of its proper divisors (13034983645320).

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

5113330514040 is a wasteful number, since it uses less digits than its factorization.

5113330514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39211 (or 39200 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 5113330514040 its reverse (404150333115), we get a palindrome (5517480847155).

The spelling of 5113330514040 in words is "five trillion, one hundred thirteen billion, three hundred thirty million, five hundred fourteen thousand, forty".