961961153 has 2 divisors, whose sum is σ = 961961154. Its totient is φ = 961961152.

The previous prime is 961961141. The next prime is 961961191. The reversal of 961961153 is 351169169.

961961153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 812706064 + 149255089 = 28508^2 + 12217^2 .

It is a cyclic number.

It is not a de Polignac number, because 961961153 - 2¹⁴ = 961944769 is a prime.

It is a super-3 number, since 3×961961153³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 961961153.

It is not a weakly prime, because it can be changed into another prime (961961123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480980576 + 480980577.

It is an arithmetic number, because the mean of its divisors is an integer number (480980577).

Almost surely, 2^961961153 is an apocalyptic number.

It is an amenable number.

961961153 is a deficient number, since it is larger than the sum of its proper divisors (1).

961961153 is an equidigital number, since it uses as much as digits as its factorization.

961961153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43740, while the sum is 41.

The square root of 961961153 is about 31015.4985934452. The cubic root of 961961153 is about 987.1561254845.

The spelling of 961961153 in words is "nine hundred sixty-one million, nine hundred sixty-one thousand, one hundred fifty-three".