4004001061 has 2 divisors, whose sum is σ = 4004001062. Its totient is φ = 4004001060.

The previous prime is 4004001047. The next prime is 4004001073. The reversal of 4004001061 is 1601004004.

It is a happy number.

4004001061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3669330625 + 334670436 = 60575^2 + 18294^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004001061 - 2²¹ = 4001903909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004011061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002000530 + 2002000531.

It is an arithmetic number, because the mean of its divisors is an integer number (2002000531).

Almost surely, 2^4004001061 is an apocalyptic number.

It is an amenable number.

4004001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004001061 is an equidigital number, since it uses as much as digits as its factorization.

4004001061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4004001061 is about 63277.1764619756. The cubic root of 4004001061 is about 1587.9301496314.

Adding to 4004001061 its reverse (1601004004), we get a palindrome (5605005065).

The spelling of 4004001061 in words is "four billion, four million, one thousand, sixty-one".