1017891041 has 2 divisors, whose sum is σ = 1017891042. Its totient is φ = 1017891040.

The previous prime is 1017891019. The next prime is 1017891089. The reversal of 1017891041 is 1401987101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 960070225 + 57820816 = 30985^2 + 7604^2 .

It is an emirp because it is prime and its reverse (1401987101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1017891041 - 2⁶ = 1017890977 is a prime.

It is a super-2 number, since 2×1017891041² = 2072204342696127362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1017890989 and 1017891007.

It is not a weakly prime, because it can be changed into another prime (1017891241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508945520 + 508945521.

It is an arithmetic number, because the mean of its divisors is an integer number (508945521).

Almost surely, 2^1017891041 is an apocalyptic number.

It is an amenable number.

1017891041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017891041 is an equidigital number, since it uses as much as digits as its factorization.

1017891041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 32.

The square root of 1017891041 is about 31904.4047272473. The cubic root of 1017891041 is about 1005.9284641904.

The spelling of 1017891041 in words is "one billion, seventeen million, eight hundred ninety-one thousand, forty-one".