5137219584 has 450 divisors, whose sum is σ = 18079519920. Its totient is φ = 1449197568.

The previous prime is 5137219567. The next prime is 5137219597. The reversal of 5137219584 is 4859127315.

5137219584 is a `hidden beast` number, since 51 + 3 + 7 + 2 + 19 + 584 = 666.

It is a super-3 number, since 3×5137219584³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65028057 + ... + 65028135.

Almost surely, 2^5137219584 is an apocalyptic number.

5137219584 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 5137219584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039759960).

5137219584 is an abundant number, since it is smaller than the sum of its proper divisors (12942300336).

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

5137219584 is an frugal number, since it uses more digits than its factorization.

5137219584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 5137219584 is about 71674.3997812329. The cubic root of 5137219584 is about 1725.4778018586.

The spelling of 5137219584 in words is "five billion, one hundred thirty-seven million, two hundred nineteen thousand, five hundred eighty-four".