2001132761 has 2 divisors, whose sum is σ = 2001132762. Its totient is φ = 2001132760.

The previous prime is 2001132743. The next prime is 2001132767. The reversal of 2001132761 is 1672311002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2000862361 + 270400 = 44731^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001132761 - 2⁶ = 2001132697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001132767) 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, 1000566380 + 1000566381.

It is an arithmetic number, because the mean of its divisors is an integer number (1000566381).

Almost surely, 2^2001132761 is an apocalyptic number.

It is an amenable number.

2001132761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001132761 is an equidigital number, since it uses as much as digits as its factorization.

2001132761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2001132761 is about 44734.0224102416. The cubic root of 2001132761 is about 1260.1588699064.

Adding to 2001132761 its reverse (1672311002), we get a palindrome (3673443763).

The spelling of 2001132761 in words is "two billion, one million, one hundred thirty-two thousand, seven hundred sixty-one".