513128519 has 2 divisors, whose sum is σ = 513128520. Its totient is φ = 513128518.

The previous prime is 513128491. The next prime is 513128531. The reversal of 513128519 is 915821315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513128519 - 2²⁰ = 512079943 is a prime.

It is a super-2 number, since 2×513128519² = 526601754022266722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513128549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256564259 + 256564260.

It is an arithmetic number, because the mean of its divisors is an integer number (256564260).

Almost surely, 2^513128519 is an apocalyptic number.

513128519 is a deficient number, since it is larger than the sum of its proper divisors (1).

513128519 is an equidigital number, since it uses as much as digits as its factorization.

513128519 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 35.

The square root of 513128519 is about 22652.3402543755. The cubic root of 513128519 is about 800.5873389981.

The spelling of 513128519 in words is "five hundred thirteen million, one hundred twenty-eight thousand, five hundred nineteen".