513561 has 8 divisors (see below), whose sum is σ = 708480. Its totient is φ = 330512.

The previous prime is 513533. The next prime is 513593. The reversal of 513561 is 165315.

It is a happy number.

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 513561 - 2⁵ = 513529 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513561.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2865 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (88560).

2⁵¹³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

513561 is a deficient number, since it is larger than the sum of its proper divisors (194919).

513561 is a wasteful number, since it uses less digits than its factorization.

513561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935.

The product of its digits is 450, while the sum is 21.

The square root of 513561 is about 716.6317045736. The cubic root of 513561 is about 80.0812195976.

Adding to 513561 its reverse (165315), we get a palindrome (678876).

The spelling of 513561 in words is "five hundred thirteen thousand, five hundred sixty-one".