5313353760 has 960 divisors, whose sum is σ = 22867536384. Its totient is φ = 1144627200.

The previous prime is 5313353741. The next prime is 5313353761. The reversal of 5313353760 is 673533135.

5313353760 is a `hidden beast` number, since 5 + 31 + 33 + 537 + 60 = 666.

It is a super-2 number, since 2×5313353760² = 56463456357812275200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5313353761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87104130 + ... + 87104190.

Almost surely, 2^5313353760 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 5313353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433768192).

5313353760 is an abundant number, since it is smaller than the sum of its proper divisors (17554182624).

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

5313353760 is a wasteful number, since it uses less digits than its factorization.

5313353760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 5313353760 is about 72892.7551955611. The cubic root of 5313353760 is about 1744.9764788033.

Adding to 5313353760 its reverse (673533135), we get a palindrome (5986886895).

It can be divided in two parts, 531335 and 3760, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 5313353760 in words is "five billion, three hundred thirteen million, three hundred fifty-three thousand, seven hundred sixty".