2010952961 has 2 divisors, whose sum is σ = 2010952962. Its totient is φ = 2010952960.

The previous prime is 2010952949. The next prime is 2010952963. The reversal of 2010952961 is 1692590102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1403626225 + 607326736 = 37465^2 + 24644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010952961 - 2¹⁰ = 2010951937 is a prime.

It is a super-2 number, since 2×2010952961² = 8087863622709335042, which contains 22 as substring.

Together with 2010952963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2010952963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005476480 + 1005476481.

It is an arithmetic number, because the mean of its divisors is an integer number (1005476481).

Almost surely, 2^2010952961 is an apocalyptic number.

It is an amenable number.

2010952961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010952961 is an equidigital number, since it uses as much as digits as its factorization.

2010952961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 2010952961 is about 44843.6501748018. The cubic root of 2010952961 is about 1262.2168417154.

The spelling of 2010952961 in words is "two billion, ten million, nine hundred fifty-two thousand, nine hundred sixty-one".