981788000257 has 2 divisors, whose sum is σ = 981788000258. Its totient is φ = 981788000256.

The previous prime is 981788000191. The next prime is 981788000273. The reversal of 981788000257 is 752000887189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695082368656 + 286705631601 = 833716^2 + 535449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-981788000257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 981788000198 and 981788000207.

It is not a weakly prime, because it can be changed into another prime (981788000657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490894000128 + 490894000129.

It is an arithmetic number, because the mean of its divisors is an integer number (490894000129).

It is a Proth number, since it is equal to 468153 ⋅ 2²¹ + 1 and 468153 < 2²¹.

Almost surely, 2^981788000257 is an apocalyptic number.

It is an amenable number.

981788000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

981788000257 is an equidigital number, since it uses as much as digits as its factorization.

981788000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 981788000257 in words is "nine hundred eighty-one billion, seven hundred eighty-eight million, two hundred fifty-seven", and thus it is an aban number.