5131819638 has 60 divisors (see below), whose sum is σ = 12551844492. Its totient is φ = 1554180480.

The previous prime is 5131819621. The next prime is 5131819643. The reversal of 5131819638 is 8369181315.

It is a happy number.

5131819638 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 8 + 1 + 9 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5131819593 and 5131819602.

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 29 ways as a sum of consecutive naturals, for example, 3023206 + ... + 3024902.

Almost surely, 2^5131819638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131819638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275922246).

5131819638 is an abundant number, since it is smaller than the sum of its proper divisors (7420024854).

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

5131819638 is an equidigital number, since it uses as much as digits as its factorization.

5131819638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 1713 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 5131819638 is about 71636.7198997832. The cubic root of 5131819638 is about 1724.8730159833.

The spelling of 5131819638 in words is "five billion, one hundred thirty-one million, eight hundred nineteen thousand, six hundred thirty-eight".