513201 has 8 divisors (see below), whose sum is σ = 736960. Its totient is φ = 315792.

The previous prime is 513173. The next prime is 513203. The reversal of 513201 is 102315.

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

It is not a de Polignac number, because 513201 - 2⁵ = 513169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513203) 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, 6541 + ... + 6618.

It is an arithmetic number, because the mean of its divisors is an integer number (92120).

2⁵¹³²⁰¹ is an apocalyptic number.

It is an amenable number.

513201 is a deficient number, since it is larger than the sum of its proper divisors (223759).

513201 is a wasteful number, since it uses less digits than its factorization.

513201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 513201 is about 716.3804854964. The cubic root of 513201 is about 80.0625032374.

Adding to 513201 its reverse (102315), we get a palindrome (615516).

The spelling of 513201 in words is "five hundred thirteen thousand, two hundred one".