82378952321 has 2 divisors, whose sum is σ = 82378952322. Its totient is φ = 82378952320.

The previous prime is 82378952309. The next prime is 82378952323. The reversal of 82378952321 is 12325987328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49422180721 + 32956771600 = 222311^2 + 181540^2 .

It is a cyclic number.

It is not a de Polignac number, because 82378952321 - 2²⁶ = 82311843457 is a prime.

It is a Sophie Germain prime.

Together with 82378952323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82378952321.

It is not a weakly prime, because it can be changed into another prime (82378952323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41189476160 + 41189476161.

It is an arithmetic number, because the mean of its divisors is an integer number (41189476161).

Almost surely, 2^82378952321 is an apocalyptic number.

It is an amenable number.

82378952321 is a deficient number, since it is larger than the sum of its proper divisors (1).

82378952321 is an equidigital number, since it uses as much as digits as its factorization.

82378952321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1451520, while the sum is 50.

The spelling of 82378952321 in words is "eighty-two billion, three hundred seventy-eight million, nine hundred fifty-two thousand, three hundred twenty-one".