5135809536 has 440 divisors, whose sum is σ = 18059354544. Its totient is φ = 1433272320.

The previous prime is 5135809529. The next prime is 5135809537. The reversal of 5135809536 is 6359085315.

5135809536 is a `hidden beast` number, since 5 + 1 + 35 + 80 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5135809491 and 5135809500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135809537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11860776 + ... + 11861208.

Almost surely, 2^5135809536 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 5135809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029677272).

5135809536 is an abundant number, since it is smaller than the sum of its proper divisors (12923545008).

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

5135809536 is a wasteful number, since it uses less digits than its factorization.

5135809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5135809536 is about 71664.5626233775. The cubic root of 5135809536 is about 1725.3199194919.

The spelling of 5135809536 in words is "five billion, one hundred thirty-five million, eight hundred nine thousand, five hundred thirty-six".