513037313 has 4 divisors (see below), whose sum is σ = 513161220. Its totient is φ = 512913408.

The previous prime is 513037307. The next prime is 513037319. The reversal of 513037313 is 313730315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313730315 = 5 ⋅62746063.

It is an interprime number because it is at equal distance from previous prime (513037307) and next prime (513037319).

It can be written as a sum of positive squares in 2 ways, for example, as 403688464 + 109348849 = 20092^2 + 10457^2 .

It is a cyclic number.

It is not a de Polignac number, because 513037313 - 2¹⁰ = 513036289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513037319) 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 3 ways as a sum of consecutive naturals, for example, 55520 + ... + 64097.

It is an arithmetic number, because the mean of its divisors is an integer number (128290305).

Almost surely, 2^513037313 is an apocalyptic number.

It is an amenable number.

513037313 is a deficient number, since it is larger than the sum of its proper divisors (123907).

513037313 is a wasteful number, since it uses less digits than its factorization.

513037313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123906.

The product of its (nonzero) digits is 2835, while the sum is 26.

The square root of 513037313 is about 22650.3269954321. The cubic root of 513037313 is about 800.5399027368.

Adding to 513037313 its reverse (313730315), we get a palindrome (826767628).

The spelling of 513037313 in words is "five hundred thirteen million, thirty-seven thousand, three hundred thirteen".