5005313 has 4 divisors (see below), whose sum is σ = 5177940. Its totient is φ = 4832688.

The previous prime is 5005309. The next prime is 5005337. The reversal of 5005313 is 3135005.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 4068289 = 968^2 + 2017^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005313 - 2² = 5005309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5005291 and 5005300.

It is not an unprimeable number, because it can be changed into a prime (5005213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86270 + ... + 86327.

It is an arithmetic number, because the mean of its divisors is an integer number (1294485).

It is a Proth number, since it is equal to 611 ⋅ 2¹³ + 1 and 611 < 2¹³.

Almost surely, 2^5005313 is an apocalyptic number.

It is an amenable number.

5005313 is a deficient number, since it is larger than the sum of its proper divisors (172627).

5005313 is a wasteful number, since it uses less digits than its factorization.

5005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172626.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 5005313 is about 2237.2556849855. The cubic root of 5005313 is about 171.0581405754.

The spelling of 5005313 in words is "five million, five thousand, three hundred thirteen".