4013513 has 16 divisors (see below), whose sum is σ = 5028480. Its totient is φ = 3123456.

The previous prime is 4013507. The next prime is 4013519. The reversal of 4013513 is 3153104.

It is an interprime number because it is at equal distance from previous prime (4013507) and next prime (4013519).

It is not a de Polignac number, because 4013513 - 2⁴ = 4013497 is a prime.

It is a super-2 number, since 2×4013513² = 32216573202338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4013491 and 4013500.

It is not an unprimeable number, because it can be changed into a prime (4013519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870 + ... + 4032.

It is an arithmetic number, because the mean of its divisors is an integer number (314280).

Almost surely, 2^4013513 is an apocalyptic number.

It is an amenable number.

4013513 is a deficient number, since it is larger than the sum of its proper divisors (1014967).

4013513 is a wasteful number, since it uses less digits than its factorization.

4013513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 4013513 is about 2003.3754016659. The cubic root of 4013513 is about 158.9186588680.

Adding to 4013513 its reverse (3153104), we get a palindrome (7166617).

The spelling of 4013513 in words is "four million, thirteen thousand, five hundred thirteen".