9961253118 has 24 divisors (see below), whose sum is σ = 21593379600. Its totient is φ = 3318777024.

The previous prime is 9961253117. The next prime is 9961253119. The reversal of 9961253118 is 8113521699.

9961253118 is a `hidden beast` number, since 9 + 96 + 12 + 531 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (9961253117) and next prime (9961253119).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961253117) 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 in 11 ways as a sum of consecutive naturals, for example, 99003 + ... + 172406.

It is an arithmetic number, because the mean of its divisors is an integer number (899724150).

Almost surely, 2^9961253118 is an apocalyptic number.

9961253118 is an abundant number, since it is smaller than the sum of its proper divisors (11632126482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9961253118 is a wasteful number, since it uses less digits than its factorization.

9961253118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273456 (or 273453 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 9961253118 is about 99806.0775604372. The cubic root of 9961253118 is about 2151.6485008322.

The spelling of 9961253118 in words is "nine billion, nine hundred sixty-one million, two hundred fifty-three thousand, one hundred eighteen".