513802349 has 2 divisors, whose sum is σ = 513802350. Its totient is φ = 513802348.

The previous prime is 513802327. The next prime is 513802357. The reversal of 513802349 is 943208315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 440580100 + 73222249 = 20990^2 + 8557^2 .

It is a cyclic number.

It is not a de Polignac number, because 513802349 - 2¹² = 513798253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513802369) 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 as a sum of consecutive naturals, namely, 256901174 + 256901175.

It is an arithmetic number, because the mean of its divisors is an integer number (256901175).

Almost surely, 2^513802349 is an apocalyptic number.

It is an amenable number.

513802349 is a deficient number, since it is larger than the sum of its proper divisors (1).

513802349 is an equidigital number, since it uses as much as digits as its factorization.

513802349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 513802349 is about 22667.2086724413. The cubic root of 513802349 is about 800.9376240845.

The spelling of 513802349 in words is "five hundred thirteen million, eight hundred two thousand, three hundred forty-nine".