398878098257 has 2 divisors, whose sum is σ = 398878098258. Its totient is φ = 398878098256.

The previous prime is 398878098187. The next prime is 398878098259. The reversal of 398878098257 is 752890878893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279842058001 + 119036040256 = 529001^2 + 345016^2 .

It is a cyclic number.

It is not a de Polignac number, because 398878098257 - 2¹⁴ = 398878081873 is a prime.

Together with 398878098259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (398878098259) 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, 199439049128 + 199439049129.

It is an arithmetic number, because the mean of its divisors is an integer number (199439049129).

Almost surely, 2^398878098257 is an apocalyptic number.

It is an amenable number.

398878098257 is a deficient number, since it is larger than the sum of its proper divisors (1).

398878098257 is an equidigital number, since it uses as much as digits as its factorization.

398878098257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 487710720, while the sum is 74.

The spelling of 398878098257 in words is "three hundred ninety-eight billion, eight hundred seventy-eight million, ninety-eight thousand, two hundred fifty-seven".