10505213 has 4 divisors (see below), whose sum is σ = 10530588. Its totient is φ = 10479840.

The previous prime is 10505207. The next prime is 10505263. The reversal of 10505213 is 31250501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31250501 = 293 ⋅106657.

It can be written as a sum of positive squares in 2 ways, for example, as 2815684 + 7689529 = 1678^2 + 2773^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505213 - 2²⁰ = 9456637 is a prime.

It is a super-2 number, since 2×10505213² = 220719000350738, which contains 22 as substring.

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 = 10505191 and 10505200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12056 + ... + 12897.

It is an arithmetic number, because the mean of its divisors is an integer number (2632647).

Almost surely, 2^10505213 is an apocalyptic number.

It is an amenable number.

10505213 is a deficient number, since it is larger than the sum of its proper divisors (25375).

10505213 is an equidigital number, since it uses as much as digits as its factorization.

10505213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25374.

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

The square root of 10505213 is about 3241.1746327528. The cubic root of 10505213 is about 219.0121897818.

Adding to 10505213 its reverse (31250501), we get a palindrome (41755714).

The spelling of 10505213 in words is "ten million, five hundred five thousand, two hundred thirteen".