513804393 has 6 divisors (see below), whose sum is σ = 742161914. Its totient is φ = 342536256.

The previous prime is 513804373. The next prime is 513804409. The reversal of 513804393 is 393408315.

It can be written as a sum of positive squares in only one way, i.e., 484352064 + 29452329 = 22008^2 + 5427^2 .

It is not a de Polignac number, because 513804393 - 2¹² = 513800297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513804353) 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 5 ways as a sum of consecutive naturals, for example, 28544680 + ... + 28544697.

Almost surely, 2^513804393 is an apocalyptic number.

It is an amenable number.

513804393 is a deficient number, since it is larger than the sum of its proper divisors (228357521).

513804393 is a wasteful number, since it uses less digits than its factorization.

513804393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57089383 (or 57089380 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 513804393 is about 22667.2537595537. The cubic root of 513804393 is about 800.9386861754.

The spelling of 513804393 in words is "five hundred thirteen million, eight hundred four thousand, three hundred ninety-three".