513997919 has 2 divisors, whose sum is σ = 513997920. Its totient is φ = 513997918.

The previous prime is 513997903. The next prime is 513997931. The reversal of 513997919 is 919799315.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513997919 - 2⁴ = 513997903 is a prime.

It is a super-2 number, since 2×513997919² = 528387721472661122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513997219) 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, 256998959 + 256998960.

It is an arithmetic number, because the mean of its divisors is an integer number (256998960).

Almost surely, 2^513997919 is an apocalyptic number.

513997919 is a deficient number, since it is larger than the sum of its proper divisors (1).

513997919 is an equidigital number, since it uses as much as digits as its factorization.

513997919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 688905, while the sum is 53.

The square root of 513997919 is about 22671.5222029753. The cubic root of 513997919 is about 801.0392322234.

The spelling of 513997919 in words is "five hundred thirteen million, nine hundred ninety-seven thousand, nine hundred nineteen".