820397519 has 2 divisors, whose sum is σ = 820397520. Its totient is φ = 820397518.

The previous prime is 820397503. The next prime is 820397533. The reversal of 820397519 is 915793028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820397519 - 2⁴ = 820397503 is a prime.

It is a super-2 number, since 2×820397519² = 1346104178362710722, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820397519.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820397719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410198759 + 410198760.

It is an arithmetic number, because the mean of its divisors is an integer number (410198760).

Almost surely, 2^820397519 is an apocalyptic number.

820397519 is a deficient number, since it is larger than the sum of its proper divisors (1).

820397519 is an equidigital number, since it uses as much as digits as its factorization.

820397519 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 820397519 is about 28642.5822683640. The cubic root of 820397519 is about 936.1413874218.

The spelling of 820397519 in words is "eight hundred twenty million, three hundred ninety-seven thousand, five hundred nineteen".