10513205 has 8 divisors (see below), whose sum is σ = 12638904. Its totient is φ = 8395200.

The previous prime is 10513201. The next prime is 10513211. The reversal of 10513205 is 50231501.

10513205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 521284 + 9991921 = 722^2 + 3161^2 .

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

It is not a de Polignac number, because 10513205 - 2² = 10513201 is a prime.

It is a super-2 number, since 2×10513205² = 221054958744050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513201) 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, 1715 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (1579863).

Almost surely, 2^10513205 is an apocalyptic number.

It is an amenable number.

10513205 is a deficient number, since it is larger than the sum of its proper divisors (2125699).

10513205 is an equidigital number, since it uses as much as digits as its factorization.

10513205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847.

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

The square root of 10513205 is about 3242.4072847192. The cubic root of 10513205 is about 219.0677146512.

Adding to 10513205 its reverse (50231501), we get a palindrome (60744706).

The spelling of 10513205 in words is "ten million, five hundred thirteen thousand, two hundred five".