601107221681 has 2 divisors, whose sum is σ = 601107221682. Its totient is φ = 601107221680.

The previous prime is 601107221651. The next prime is 601107221711. The reversal of 601107221681 is 186122701106.

It is a balanced prime because it is at equal distance from previous prime (601107221651) and next prime (601107221711).

It can be written as a sum of positive squares in only one way, i.e., 594262141456 + 6845080225 = 770884^2 + 82735^2 .

It is a cyclic number.

It is not a de Polignac number, because 601107221681 - 2¹⁴ = 601107205297 is a prime.

It is a super-2 number, since 2×601107221681² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (601107221651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300553610840 + 300553610841.

It is an arithmetic number, because the mean of its divisors is an integer number (300553610841).

Almost surely, 2^601107221681 is an apocalyptic number.

It is an amenable number.

601107221681 is a deficient number, since it is larger than the sum of its proper divisors (1).

601107221681 is an equidigital number, since it uses as much as digits as its factorization.

601107221681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 35.

Adding to 601107221681 its reverse (186122701106), we get a palindrome (787229922787).

The spelling of 601107221681 in words is "six hundred one billion, one hundred seven million, two hundred twenty-one thousand, six hundred eighty-one".