513461 has 8 divisors (see below), whose sum is σ = 559104. Its totient is φ = 468720.

The previous prime is 513439. The next prime is 513473. The reversal of 513461 is 164315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513461 - 2⁶ = 513397 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513461.

It is not an unprimeable number, because it can be changed into a prime (513431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

2⁵¹³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

513461 is a deficient number, since it is larger than the sum of its proper divisors (45643).

513461 is a wasteful number, since it uses less digits than its factorization.

513461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451.

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

The square root of 513461 is about 716.5619303312. The cubic root of 513461 is about 80.0760214863.

Adding to 513461 its reverse (164315), we get a palindrome (677776).

The spelling of 513461 in words is "five hundred thirteen thousand, four hundred sixty-one".