5133813440 has 224 divisors, whose sum is σ = 14673705984. Its totient is φ = 1672704000.

The previous prime is 5133813413. The next prime is 5133813539. The reversal of 5133813440 is 443183315.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5133813397 and 5133813406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12931322 + ... + 12931718.

It is an arithmetic number, because the mean of its divisors is an integer number (65507616).

Almost surely, 2^5133813440 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 5133813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336852992).

5133813440 is an abundant number, since it is smaller than the sum of its proper divisors (9539892544).

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

5133813440 is a wasteful number, since it uses less digits than its factorization.

5133813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5133813440 is about 71650.6346098902. The cubic root of 5133813440 is about 1725.0963682072.

Adding to 5133813440 its reverse (443183315), we get a palindrome (5576996755).

The spelling of 5133813440 in words is "five billion, one hundred thirty-three million, eight hundred thirteen thousand, four hundred forty".