1017820684061 has 2 divisors, whose sum is σ = 1017820684062. Its totient is φ = 1017820684060.

The previous prime is 1017820684019. The next prime is 1017820684063. The reversal of 1017820684061 is 1604860287101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 764138222500 + 253682461561 = 874150^2 + 503669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1017820684061 is a prime.

Together with 1017820684063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017820684063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508910342030 + 508910342031.

It is an arithmetic number, because the mean of its divisors is an integer number (508910342031).

Almost surely, 2^{1017820684061} is an apocalyptic number.

It is an amenable number.

1017820684061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017820684061 is an equidigital number, since it uses as much as digits as its factorization.

1017820684061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 1017820684061 in words is "one trillion, seventeen billion, eight hundred twenty million, six hundred eighty-four thousand, sixty-one".