961761601 has 2 divisors, whose sum is σ = 961761602. Its totient is φ = 961761600.

The previous prime is 961761571. The next prime is 961761623. The reversal of 961761601 is 106167169.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534719376 + 427042225 = 23124^2 + 20665^2 .

It is a cyclic number.

It is not a de Polignac number, because 961761601 - 2⁵ = 961761569 is a prime.

It is not a weakly prime, because it can be changed into another prime (961761001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480880800 + 480880801.

It is an arithmetic number, because the mean of its divisors is an integer number (480880801).

Almost surely, 2^961761601 is an apocalyptic number.

It is an amenable number.

961761601 is a deficient number, since it is larger than the sum of its proper divisors (1).

961761601 is an equidigital number, since it uses as much as digits as its factorization.

961761601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 961761601 is about 31012.2814542884. The cubic root of 961761601 is about 987.0878612580.

The spelling of 961761601 in words is "nine hundred sixty-one million, seven hundred sixty-one thousand, six hundred one".