5313435120 has 240 divisors, whose sum is σ = 21467197440. Its totient is φ = 1150557696.

The previous prime is 5313435109. The next prime is 5313435133. The reversal of 5313435120 is 215343135.

5313435120 is a `hidden beast` number, since 531 + 3 + 4 + 3 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68017 + ... + 123503.

It is an arithmetic number, because the mean of its divisors is an integer number (89446656).

Almost surely, 2^5313435120 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 5313435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733598720).

5313435120 is an abundant number, since it is smaller than the sum of its proper divisors (16153762320).

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

5313435120 is a wasteful number, since it uses less digits than its factorization.

5313435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55532 (or 55523 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5313435120 is about 72893.3132735781. The cubic root of 5313435120 is about 1744.9853853287.

Adding to 5313435120 its reverse (215343135), we get a palindrome (5528778255).

The spelling of 5313435120 in words is "five billion, three hundred thirteen million, four hundred thirty-five thousand, one hundred twenty".