5005210013 has 8 divisors (see below), whose sum is σ = 5131485240. Its totient is φ = 4879134720.

The previous prime is 5005209973. The next prime is 5005210051. The reversal of 5005210013 is 3100125005.

It can be written as a sum of positive squares in 4 ways, for example, as 399280324 + 4605929689 = 19982^2 + 67867^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5005210013 - 2⁸ = 5005209757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5005209973 and 5005210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005210073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373 + ... + 100061.

It is an arithmetic number, because the mean of its divisors is an integer number (641435655).

Almost surely, 2^5005210013 is an apocalyptic number.

It is an amenable number.

5005210013 is a deficient number, since it is larger than the sum of its proper divisors (126275227).

5005210013 is a wasteful number, since it uses less digits than its factorization.

5005210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99967.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5005210013 is about 70747.5088819387. The cubic root of 5005210013 is about 1710.5696736302.

Adding to 5005210013 its reverse (3100125005), we get a palindrome (8105335018).

The spelling of 5005210013 in words is "five billion, five million, two hundred ten thousand, thirteen".