513541 has 4 divisors (see below), whose sum is σ = 586912. Its totient is φ = 440172.

The previous prime is 513533. The next prime is 513593. The reversal of 513541 is 145315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 145315 = 5 ⋅29063.

It is a cyclic number.

It is not a de Polignac number, because 513541 - 2³ = 513533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36675 + ... + 36688.

It is an arithmetic number, because the mean of its divisors is an integer number (146728).

2⁵¹³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

513541 is a deficient number, since it is larger than the sum of its proper divisors (73371).

513541 is an equidigital number, since it uses as much as digits as its factorization.

513541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73370.

The product of its digits is 300, while the sum is 19.

The square root of 513541 is about 716.6177502686. The cubic root of 513541 is about 80.0801800294.

Adding to 513541 its reverse (145315), we get a palindrome (658856).

The spelling of 513541 in words is "five hundred thirteen thousand, five hundred forty-one".