10213524 has 54 divisors (see below), whose sum is σ = 26574366. Its totient is φ = 3307200.

The previous prime is 10213519. The next prime is 10213529. The reversal of 10213524 is 42531201.

10213524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10213519) and next prime (10213529).

It can be written as a sum of positive squares in 3 ways, for example, as 6411024 + 3802500 = 2532^2 + 1950^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10213497 and 10213506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213529) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101074 + ... + 101174.

Almost surely, 2^10213524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287183).

10213524 is an abundant number, since it is smaller than the sum of its proper divisors (16360842).

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

10213524 is a wasteful number, since it uses less digits than its factorization.

10213524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10213524 is about 3195.8604475164. The cubic root of 10213524 is about 216.9660943579.

Adding to 10213524 its reverse (42531201), we get a palindrome (52744725).

The spelling of 10213524 in words is "ten million, two hundred thirteen thousand, five hundred twenty-four".