513217819 has 2 divisors, whose sum is σ = 513217820. Its totient is φ = 513217818.

The previous prime is 513217807. The next prime is 513217829. The reversal of 513217819 is 918712315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513217819 - 2¹⁵ = 513185051 is a prime.

It is a super-2 number, since 2×513217819² = 526785059478233522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513217829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256608909 + 256608910.

It is an arithmetic number, because the mean of its divisors is an integer number (256608910).

Almost surely, 2^513217819 is an apocalyptic number.

513217819 is a deficient number, since it is larger than the sum of its proper divisors (1).

513217819 is an equidigital number, since it uses as much as digits as its factorization.

513217819 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 37.

The square root of 513217819 is about 22654.3112673946. The cubic root of 513217819 is about 800.6337785026.

The spelling of 513217819 in words is "five hundred thirteen million, two hundred seventeen thousand, eight hundred nineteen".