5103585792 has 200 divisors, whose sum is σ = 15386226900. Its totient is φ = 1684094976.

The previous prime is 5103585779. The next prime is 5103585797. The reversal of 5103585792 is 2975853015.

It can be written as a sum of positive squares in 2 ways, for example, as 4999055616 + 104530176 = 70704^2 + 10224^2 .

It is a super-3 number, since 3×5103585792³ (a number of 30 digits) contains 333 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5103585797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4519884 + ... + 4521012.

Almost surely, 2^5103585792 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 5103585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693113450).

5103585792 is an abundant number, since it is smaller than the sum of its proper divisors (10282641108).

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

5103585792 is a wasteful number, since it uses less digits than its factorization.

5103585792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5103585792 is about 71439.3854396859. The cubic root of 5103585792 is about 1721.7039396808.

The spelling of 5103585792 in words is "five billion, one hundred three million, five hundred eighty-five thousand, seven hundred ninety-two".