5313816144 has 480 divisors, whose sum is σ = 19227213824. Its totient is φ = 1332495360.

The previous prime is 5313816143. The next prime is 5313816149. The reversal of 5313816144 is 4416183135.

5313816144 is a `hidden beast` number, since 5 + 3 + 1 + 38 + 1 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5313816099 and 5313816108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313816143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41841009 + ... + 41841135.

Almost surely, 2^5313816144 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 5313816144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613606912).

5313816144 is an abundant number, since it is smaller than the sum of its proper divisors (13913397680).

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

5313816144 is a wasteful number, since it uses less digits than its factorization.

5313816144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5313816144 is about 72895.9267997877. The cubic root of 5313816144 is about 1745.0270950328.

Adding to 5313816144 its reverse (4416183135), we get a palindrome (9729999279).

The spelling of 5313816144 in words is "five billion, three hundred thirteen million, eight hundred sixteen thousand, one hundred forty-four".