47513 has 2 divisors, whose sum is σ = 47514. Its totient is φ = 47512.

The previous prime is 47507. The next prime is 47521. The reversal of 47513 is 31574.

It is a happy number.

47513 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 12544 = 187^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 47513 - 2⁴ = 47497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (47533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23756 + 23757.

It is an arithmetic number, because the mean of its divisors is an integer number (23757).

2⁴⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

47513 is a deficient number, since it is larger than the sum of its proper divisors (1).

47513 is an equidigital number, since it uses as much as digits as its factorization.

47513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 47513 is about 217.9747691821. The cubic root of 47513 is about 36.2190858118.

The spelling of 47513 in words is "forty-seven thousand, five hundred thirteen".