5116535424 has 1280 divisors, whose sum is σ = 22393324800. Its totient is φ = 1114767360.

The previous prime is 5116535393. The next prime is 5116535429. The reversal of 5116535424 is 4245356115.

5116535424 is a `hidden beast` number, since 5 + 116 + 535 + 4 + 2 + 4 = 666.

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 (5116535429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176432242 + ... + 176432270.

It is an arithmetic number, because the mean of its divisors is an integer number (17494785).

Almost surely, 2^5116535424 is an apocalyptic number.

5116535424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196662400).

5116535424 is an abundant number, since it is smaller than the sum of its proper divisors (17276789376).

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

5116535424 is a wasteful number, since it uses less digits than its factorization.

5116535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5116535424 is about 71529.9617223440. The cubic root of 5116535424 is about 1723.1589037460.

The spelling of 5116535424 in words is "five billion, one hundred sixteen million, five hundred thirty-five thousand, four hundred twenty-four".