64513 has 2 divisors, whose sum is σ = 64514. Its totient is φ = 64512.

The previous prime is 64499. The next prime is 64553. The reversal of 64513 is 31546.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 17424 = 217^2 + 132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-64513 is a prime.

It is equal to p₆₄₅₄ and since 64513 and 6454 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (64553) 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 as a sum of consecutive naturals, namely, 32256 + 32257.

It is an arithmetic number, because the mean of its divisors is an integer number (32257).

64513 is a Friedman number, since it can be written as 63*4^5+1, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 63 ⋅ 2¹⁰ + 1 and 63 < 2¹⁰.

2⁶⁴⁵¹³ is an apocalyptic number.

It is an amenable number.

64513 is a deficient number, since it is larger than the sum of its proper divisors (1).

64513 is an equidigital number, since it uses as much as digits as its factorization.

64513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 64513 is about 253.9940944195. The cubic root of 64513 is about 40.1065907082.

It can be divided in two parts, 645 and 13, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 64513 in words is "sixty-four thousand, five hundred thirteen".