820414961279 has 2 divisors, whose sum is σ = 820414961280. Its totient is φ = 820414961278.

The previous prime is 820414961243. The next prime is 820414961323. The reversal of 820414961279 is 972169414028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820414961279 - 2³⁶ = 751695484543 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820414961279.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820414961209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410207480639 + 410207480640.

It is an arithmetic number, because the mean of its divisors is an integer number (410207480640).

Almost surely, 2^820414961279 is an apocalyptic number.

820414961279 is a deficient number, since it is larger than the sum of its proper divisors (1).

820414961279 is an equidigital number, since it uses as much as digits as its factorization.

820414961279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 820414961279 in words is "eight hundred twenty billion, four hundred fourteen million, nine hundred sixty-one thousand, two hundred seventy-nine".