10017027641 has 2 divisors, whose sum is σ = 10017027642. Its totient is φ = 10017027640.

The previous prime is 10017027593. The next prime is 10017027673. The reversal of 10017027641 is 14672071001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7595994025 + 2421033616 = 87155^2 + 49204^2 .

It is a cyclic number.

It is not a de Polignac number, because 10017027641 - 2²⁶ = 9949918777 is a prime.

It is not a weakly prime, because it can be changed into another prime (10017026641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008513820 + 5008513821.

It is an arithmetic number, because the mean of its divisors is an integer number (5008513821).

Almost surely, 2^10017027641 is an apocalyptic number.

It is an amenable number.

10017027641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017027641 is an equidigital number, since it uses as much as digits as its factorization.

10017027641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 10017027641 its reverse (14672071001), we get a palindrome (24689098642).

The spelling of 10017027641 in words is "ten billion, seventeen million, twenty-seven thousand, six hundred forty-one".