4013613 has 24 divisors (see below), whose sum is σ = 6060600. Its totient is φ = 2557440.

The previous prime is 4013591. The next prime is 4013621. The reversal of 4013613 is 3163104.

4013613 is a `hidden beast` number, since 40 + 13 + 613 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21609 + 3992004 = 147^2 + 1998^2 .

It is not a de Polignac number, because 4013613 - 2²⁰ = 2965037 is a prime.

It is a super-2 number, since 2×4013613² = 32218178627538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013623) 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, 26863 + ... + 27011.

It is an arithmetic number, because the mean of its divisors is an integer number (252525).

Almost surely, 2^4013613 is an apocalyptic number.

It is an amenable number.

4013613 is a deficient number, since it is larger than the sum of its proper divisors (2046987).

4013613 is a wasteful number, since it uses less digits than its factorization.

4013613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4013613 is about 2003.4003593890. The cubic root of 4013613 is about 158.9199787204.

Adding to 4013613 its reverse (3163104), we get a palindrome (7176717).

The spelling of 4013613 in words is "four million, thirteen thousand, six hundred thirteen".