513841 has 2 divisors, whose sum is σ = 513842. Its totient is φ = 513840.

The previous prime is 513839. The next prime is 513871. The reversal of 513841 is 148315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 18225 = 704^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 513841 - 2¹ = 513839 is a prime.

Together with 513839, it forms a pair of twin primes.

It is equal to p₄₂₅₈₃ and since 513841 and 42583 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 (513871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256920 + 256921.

It is an arithmetic number, because the mean of its divisors is an integer number (256921).

2⁵¹³⁸⁴¹ is an apocalyptic number.

It is an amenable number.

513841 is a deficient number, since it is larger than the sum of its proper divisors (1).

513841 is an equidigital number, since it uses as much as digits as its factorization.

513841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480, while the sum is 22.

The square root of 513841 is about 716.8270363205. The cubic root of 513841 is about 80.0957707205.

The spelling of 513841 in words is "five hundred thirteen thousand, eight hundred forty-one".