4013523 has 24 divisors (see below), whose sum is σ = 6237840. Its totient is φ = 2550240.

The previous prime is 4013521. The next prime is 4013543. The reversal of 4013523 is 3253104.

It is not a de Polignac number, because 4013523 - 2¹ = 4013521 is a prime.

It is a super-2 number, since 2×4013523² = 32216733743058, which contains 22 as substring.

4013523 is a Rhonda number in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4013496 and 4013505.

It is not an unprimeable number, because it can be changed into a prime (4013521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14143 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (259910).

Almost surely, 2^4013523 is an apocalyptic number.

4013523 is a deficient number, since it is larger than the sum of its proper divisors (2224317).

4013523 is a wasteful number, since it uses less digits than its factorization.

4013523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4013523 is about 2003.3778974522. The cubic root of 4013523 is about 158.9187908542.

Adding to 4013523 its reverse (3253104), we get a palindrome (7266627).

The spelling of 4013523 in words is "four million, thirteen thousand, five hundred twenty-three".