9961085257 has 2 divisors, whose sum is σ = 9961085258. Its totient is φ = 9961085256.

The previous prime is 9961085237. The next prime is 9961085263. The reversal of 9961085257 is 7525801699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7955926416 + 2005158841 = 89196^2 + 44779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9961085257 is a prime.

It is not a weakly prime, because it can be changed into another prime (9961085237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4980542628 + 4980542629.

It is an arithmetic number, because the mean of its divisors is an integer number (4980542629).

Almost surely, 2^9961085257 is an apocalyptic number.

It is an amenable number.

9961085257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9961085257 is an equidigital number, since it uses as much as digits as its factorization.

9961085257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 52.

The square root of 9961085257 is about 99805.2366211313. The cubic root of 9961085257 is about 2151.6364146722.

The spelling of 9961085257 in words is "nine billion, nine hundred sixty-one million, eighty-five thousand, two hundred fifty-seven".