210005313 has 8 divisors (see below), whose sum is σ = 320008128. Its totient is φ = 120003024.

The previous prime is 210005311. The next prime is 210005317. The reversal of 210005313 is 313500012.

It is a happy number.

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

It is not a de Polignac number, because 210005313 - 2¹ = 210005311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210005292 and 210005301.

It is not an unprimeable number, because it can be changed into a prime (210005311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000106 + ... + 5000147.

It is an arithmetic number, because the mean of its divisors is an integer number (40001016).

Almost surely, 2^210005313 is an apocalyptic number.

It is an amenable number.

210005313 is a deficient number, since it is larger than the sum of its proper divisors (110002815).

210005313 is a wasteful number, since it uses less digits than its factorization.

210005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000263.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 210005313 is about 14491.5600609458. The cubic root of 210005313 is about 594.3972079416.

Adding to 210005313 its reverse (313500012), we get a palindrome (523505325).

The spelling of 210005313 in words is "two hundred ten million, five thousand, three hundred thirteen".