513306634 has 16 divisors (see below), whose sum is σ = 791581896. Its totient is φ = 249491200.

The previous prime is 513306613. The next prime is 513306659. The reversal of 513306634 is 436603315.

It can be written as a sum of positive squares in 4 ways, for example, as 434931025 + 78375609 = 20855^2 + 8853^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513306596 and 513306605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11904 + ... + 34180.

Almost surely, 2^513306634 is an apocalyptic number.

513306634 is a deficient number, since it is larger than the sum of its proper divisors (278275262).

513306634 is a wasteful number, since it uses less digits than its factorization.

513306634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22601.

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 513306634 is about 22656.2714055071. The cubic root of 513306634 is about 800.6799604452.

Adding to 513306634 its reverse (436603315), we get a palindrome (949909949).

The spelling of 513306634 in words is "five hundred thirteen million, three hundred six thousand, six hundred thirty-four".