513261 has 12 divisors (see below), whose sum is σ = 847392. Its totient is φ = 293256.

The previous prime is 513257. The next prime is 513269. The reversal of 513261 is 162315.

It is not a de Polignac number, because 513261 - 2² = 513257 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 513261.

It is not an unprimeable number, because it can be changed into a prime (513269) 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 11 ways as a sum of consecutive naturals, for example, 4011 + ... + 4136.

It is an arithmetic number, because the mean of its divisors is an integer number (70616).

2⁵¹³²⁶¹ is an apocalyptic number.

It is an amenable number.

513261 is a deficient number, since it is larger than the sum of its proper divisors (334131).

513261 is a wasteful number, since it uses less digits than its factorization.

513261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8157 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 513261 is about 716.4223614601. The cubic root of 513261 is about 80.0656232385.

Adding to 513261 its reverse (162315), we get a palindrome (675576).

The spelling of 513261 in words is "five hundred thirteen thousand, two hundred sixty-one".