513080137 has 2 divisors, whose sum is σ = 513080138. Its totient is φ = 513080136.

The previous prime is 513080081. The next prime is 513080143. The reversal of 513080137 is 731080315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282374416 + 230705721 = 16804^2 + 15189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513080137 is a prime.

It is not a weakly prime, because it can be changed into another prime (513080167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256540068 + 256540069.

It is an arithmetic number, because the mean of its divisors is an integer number (256540069).

Almost surely, 2^513080137 is an apocalyptic number.

It is an amenable number.

513080137 is a deficient number, since it is larger than the sum of its proper divisors (1).

513080137 is an equidigital number, since it uses as much as digits as its factorization.

513080137 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 28.

The square root of 513080137 is about 22651.2723042217. The cubic root of 513080137 is about 800.5621762090.

The spelling of 513080137 in words is "five hundred thirteen million, eighty thousand, one hundred thirty-seven".