513033349 has 2 divisors, whose sum is σ = 513033350. Its totient is φ = 513033348.

The previous prime is 513033299. The next prime is 513033359. The reversal of 513033349 is 943330315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433056100 + 79977249 = 20810^2 + 8943^2 .

It is a cyclic number.

It is not a de Polignac number, because 513033349 - 2²⁷ = 378815621 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513033349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513033359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256516674 + 256516675.

It is an arithmetic number, because the mean of its divisors is an integer number (256516675).

Almost surely, 2^513033349 is an apocalyptic number.

It is an amenable number.

513033349 is a deficient number, since it is larger than the sum of its proper divisors (1).

513033349 is an equidigital number, since it uses as much as digits as its factorization.

513033349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 31.

The square root of 513033349 is about 22650.2394910076. The cubic root of 513033349 is about 800.5378409320.

The spelling of 513033349 in words is "five hundred thirteen million, thirty-three thousand, three hundred forty-nine".