513804353 has 2 divisors, whose sum is σ = 513804354. Its totient is φ = 513804352.

The previous prime is 513804331. The next prime is 513804367. The reversal of 513804353 is 353408315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339775489 + 174028864 = 18433^2 + 13192^2 .

It is a cyclic number.

It is not a de Polignac number, because 513804353 - 2⁸ = 513804097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513804373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256902176 + 256902177.

It is an arithmetic number, because the mean of its divisors is an integer number (256902177).

Almost surely, 2^513804353 is an apocalyptic number.

It is an amenable number.

513804353 is a deficient number, since it is larger than the sum of its proper divisors (1).

513804353 is an equidigital number, since it uses as much as digits as its factorization.

513804353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 513804353 is about 22667.2528772236. The cubic root of 513804353 is about 800.9386653908.

The spelling of 513804353 in words is "five hundred thirteen million, eight hundred four thousand, three hundred fifty-three".