10513206 has 48 divisors (see below), whose sum is σ = 25695600. Its totient is φ = 3183840.

The previous prime is 10513201. The next prime is 10513211. The reversal of 10513206 is 60231501.

It is an interprime number because it is at equal distance from previous prime (10513201) and next prime (10513211).

It is a super-2 number, since 2×10513206² = 221055000796872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 5730 + ... + 7338.

It is an arithmetic number, because the mean of its divisors is an integer number (535325).

Almost surely, 2^10513206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847800).

10513206 is an abundant number, since it is smaller than the sum of its proper divisors (15182394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10513206 is a wasteful number, since it uses less digits than its factorization.

10513206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10513206 is about 3242.4074389256. The cubic root of 10513206 is about 219.0677215970.

Adding to 10513206 its reverse (60231501), we get a palindrome (70744707).

The spelling of 10513206 in words is "ten million, five hundred thirteen thousand, two hundred six".