513508819 has 2 divisors, whose sum is σ = 513508820. Its totient is φ = 513508818.

The previous prime is 513508789. The next prime is 513508823. The reversal of 513508819 is 918805315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513508819 - 2⁷ = 513508691 is a prime.

It is a super-2 number, since 2×513508819² = 527382614381549522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513508889) 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, 256754409 + 256754410.

It is an arithmetic number, because the mean of its divisors is an integer number (256754410).

Almost surely, 2^513508819 is an apocalyptic number.

513508819 is a deficient number, since it is larger than the sum of its proper divisors (1).

513508819 is an equidigital number, since it uses as much as digits as its factorization.

513508819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 513508819 is about 22660.7329757888. The cubic root of 513508819 is about 800.7850725535.

The spelling of 513508819 in words is "five hundred thirteen million, five hundred eight thousand, eight hundred nineteen".