5138624817 has 24 divisors (see below), whose sum is σ = 7507895616. Its totient is φ = 3386455776.

The previous prime is 5138624797. The next prime is 5138624819. The reversal of 5138624817 is 7184268315.

5138624817 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 624 + 8 + 17 = 666.

It is not a de Polignac number, because 5138624817 - 2¹⁸ = 5138362673 is a prime.

It is a super-3 number, since 3×5138624817³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5138624819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463503 + ... + 474459.

It is an arithmetic number, because the mean of its divisors is an integer number (312828984).

Almost surely, 2^5138624817 is an apocalyptic number.

It is an amenable number.

5138624817 is a deficient number, since it is larger than the sum of its proper divisors (2369270799).

5138624817 is a wasteful number, since it uses less digits than its factorization.

5138624817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11554 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5138624817 is about 71684.2020043468. The cubic root of 5138624817 is about 1725.6351163525.

The spelling of 5138624817 in words is "five billion, one hundred thirty-eight million, six hundred twenty-four thousand, eight hundred seventeen".