5119530624 has 384 divisors, whose sum is σ = 16841260800. Its totient is φ = 1480900608.

The previous prime is 5119530617. The next prime is 5119530673. The reversal of 5119530624 is 4260359115.

5119530624 is a `hidden beast` number, since 5 + 119 + 530 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30655789 + ... + 30655955.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^5119530624 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 5119530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

5119530624 is an abundant number, since it is smaller than the sum of its proper divisors (11721730176).

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

5119530624 is a wasteful number, since it uses less digits than its factorization.

5119530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5119530624 is about 71550.8953403100. The cubic root of 5119530624 is about 1723.4950816692.

Adding to 5119530624 its reverse (4260359115), we get a palindrome (9379889739).

The spelling of 5119530624 in words is "five billion, one hundred nineteen million, five hundred thirty thousand, six hundred twenty-four".