5135815104 has 224 divisors, whose sum is σ = 15927238656. Its totient is φ = 1430338560.

The previous prime is 5135815099. The next prime is 5135815129. The reversal of 5135815104 is 4015185315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 10210117 + ... + 10210619.

It is an arithmetic number, because the mean of its divisors is an integer number (71103744).

Almost surely, 2^5135815104 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 5135815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963619328).

5135815104 is an abundant number, since it is smaller than the sum of its proper divisors (10791423552).

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

5135815104 is a wasteful number, since it uses less digits than its factorization.

5135815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 5135815104 is about 71664.6014710191. The cubic root of 5135815104 is about 1725.3205429948.

The spelling of 5135815104 in words is "five billion, one hundred thirty-five million, eight hundred fifteen thousand, one hundred four".