1010001061 has 2 divisors, whose sum is σ = 1010001062. Its totient is φ = 1010001060.

The previous prime is 1010001053. The next prime is 1010001077. The reversal of 1010001061 is 1601000101.

1010001061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005270436 + 4730625 = 31706^2 + 2175^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001061 - 2³ = 1010001053 is a prime.

It is a super-2 number, since 2×1010001061² = 2040204286442251442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010001361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000530 + 505000531.

It is an arithmetic number, because the mean of its divisors is an integer number (505000531).

Almost surely, 2^1010001061 is an apocalyptic number.

It is an amenable number.

1010001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001061 is an equidigital number, since it uses as much as digits as its factorization.

1010001061 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1010001061 is about 31780.5138567645. The cubic root of 1010001061 is about 1003.3226348703.

Adding to 1010001061 its reverse (1601000101), we get a palindrome (2611001162).

The spelling of 1010001061 in words is "one billion, ten million, one thousand, sixty-one".