513204137 has 2 divisors, whose sum is σ = 513204138. Its totient is φ = 513204136.

The previous prime is 513204119. The next prime is 513204149. The reversal of 513204137 is 731402315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340439401 + 172764736 = 18451^2 + 13144^2 .

It is a cyclic number.

It is not a de Polignac number, because 513204137 - 2¹² = 513200041 is a prime.

It is not a weakly prime, because it can be changed into another prime (513204187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602068 + 256602069.

It is an arithmetic number, because the mean of its divisors is an integer number (256602069).

Almost surely, 2^513204137 is an apocalyptic number.

It is an amenable number.

513204137 is a deficient number, since it is larger than the sum of its proper divisors (1).

513204137 is an equidigital number, since it uses as much as digits as its factorization.

513204137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 513204137 is about 22654.0092919554. The cubic root of 513204137 is about 800.6266636751.

The spelling of 513204137 in words is "five hundred thirteen million, two hundred four thousand, one hundred thirty-seven".