5093579106 has 192 divisors, whose sum is σ = 14478912000. Its totient is φ = 1312446240.

The previous prime is 5093579059. The next prime is 5093579107. The reversal of 5093579106 is 6019753905.

5093579106 is a `hidden beast` number, since 509 + 3 + 57 + 91 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5093579107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4045105 + ... + 4046363.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 2^5093579106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5093579106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456000).

5093579106 is an abundant number, since it is smaller than the sum of its proper divisors (9385332894).

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

5093579106 is a wasteful number, since it uses less digits than its factorization.

5093579106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 5093579106 is about 71369.3148769133. The cubic root of 5093579106 is about 1720.5779455402.

The spelling of 5093579106 in words is "five billion, ninety-three million, five hundred seventy-nine thousand, one hundred six".