513641 has 2 divisors, whose sum is σ = 513642. Its totient is φ = 513640.

The previous prime is 513631. The next prime is 513649. The reversal of 513641 is 146315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 177241 = 580^2 + 421^2 .

It is a cyclic number.

It is not a de Polignac number, because 513641 - 2¹⁴ = 497257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256820 + 256821.

It is an arithmetic number, because the mean of its divisors is an integer number (256821).

2⁵¹³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

513641 is a deficient number, since it is larger than the sum of its proper divisors (1).

513641 is an equidigital number, since it uses as much as digits as its factorization.

513641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 513641 is about 716.6875190765. The cubic root of 513641 is about 80.0853776009.

Adding to 513641 its reverse (146315), we get a palindrome (659956).

The spelling of 513641 in words is "five hundred thirteen thousand, six hundred forty-one".