41513 has 2 divisors, whose sum is σ = 41514. Its totient is φ = 41512.

The previous prime is 41507. The next prime is 41519. The reversal of 41513 is 31514.

It is a balanced prime because it is at equal distance from previous prime (41507) and next prime (41519).

It can be written as a sum of positive squares in only one way, i.e., 38809 + 2704 = 197^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 41513 - 2⁸ = 41257 is a prime.

It is not a weakly prime, because it can be changed into another prime (41519) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20756 + 20757.

It is an arithmetic number, because the mean of its divisors is an integer number (20757).

2⁴¹⁵¹³ is an apocalyptic number.

It is an amenable number.

41513 is a deficient number, since it is larger than the sum of its proper divisors (1).

41513 is an equidigital number, since it uses as much as digits as its factorization.

41513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 14.

The square root of 41513 is about 203.7473926214. The cubic root of 41513 is about 34.6253926111.

Subtracting from 41513 its reverse (31514), we obtain a palindrome (9999).

The spelling of 41513 in words is "forty-one thousand, five hundred thirteen".