68513 has 4 divisors (see below), whose sum is σ = 69168. Its totient is φ = 67860.

The previous prime is 68507. The next prime is 68521. The reversal of 68513 is 31586.

68513 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 68513 - 2⁶ = 68449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (17292).

2⁶⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

68513 is a deficient number, since it is larger than the sum of its proper divisors (655).

68513 is a wasteful number, since it uses less digits than its factorization.

68513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its digits is 720, while the sum is 23.

The square root of 68513 is about 261.7498806112. The cubic root of 68513 is about 40.9189356030.

The spelling of 68513 in words is "sixty-eight thousand, five hundred thirteen".