1001001061 has 2 divisors, whose sum is σ = 1001001062. Its totient is φ = 1001001060.

The previous prime is 1001001059. The next prime is 1001001119. The reversal of 1001001061 is 1601001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 599760100 + 401240961 = 24490^2 + 20031^2 .

It is an emirp because it is prime and its reverse (1601001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001001061 - 2¹ = 1001001059 is a prime.

Together with 1001001059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500530 + 500500531.

It is an arithmetic number, because the mean of its divisors is an integer number (500500531).

Almost surely, 2^1001001061 is an apocalyptic number.

It is an amenable number.

1001001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001061 is an equidigital number, since it uses as much as digits as its factorization.

1001001061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1001001061 is about 31638.6008066096. The cubic root of 1001001061 is about 1000.3335757149. Note that the first 3 decimals are identical.

Adding to 1001001061 its reverse (1601001001), we get a palindrome (2602002062).

The spelling of 1001001061 in words is "one billion, one million, one thousand, sixty-one".