513645337 has 2 divisors, whose sum is σ = 513645338. Its totient is φ = 513645336.

The previous prime is 513645331. The next prime is 513645347. The reversal of 513645337 is 733546315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 483296256 + 30349081 = 21984^2 + 5509^2 .

It is a cyclic number.

It is not a de Polignac number, because 513645337 - 2¹¹ = 513643289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513645296 and 513645305.

It is not a weakly prime, because it can be changed into another prime (513645331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256822668 + 256822669.

It is an arithmetic number, because the mean of its divisors is an integer number (256822669).

Almost surely, 2^513645337 is an apocalyptic number.

It is an amenable number.

513645337 is a deficient number, since it is larger than the sum of its proper divisors (1).

513645337 is an equidigital number, since it uses as much as digits as its factorization.

513645337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113400, while the sum is 37.

The square root of 513645337 is about 22663.7449906232. The cubic root of 513645337 is about 800.8560300432.

The spelling of 513645337 in words is "five hundred thirteen million, six hundred forty-five thousand, three hundred thirty-seven".