50513 has 2 divisors, whose sum is σ = 50514. Its totient is φ = 50512.

The previous prime is 50503. The next prime is 50527. The reversal of 50513 is 31505.

It is an a-pointer prime, because the next prime (50527) can be obtained adding 50513 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 784 = 223^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 50513 - 2⁴ = 50497 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (50503) 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, 25256 + 25257.

It is an arithmetic number, because the mean of its divisors is an integer number (25257).

2⁵⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

50513 is a deficient number, since it is larger than the sum of its proper divisors (1).

50513 is an equidigital number, since it uses as much as digits as its factorization.

50513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 50513 is about 224.7509733016. The cubic root of 50513 is about 36.9658804040.

The spelling of 50513 in words is "fifty thousand, five hundred thirteen".