9961136901 has 48 divisors (see below), whose sum is σ = 14996427264. Its totient is φ = 6367306752.

The previous prime is 9961136879. The next prime is 9961136917. The reversal of 9961136901 is 1096311699.

It is not a de Polignac number, because 9961136901 - 2²⁹ = 9424265989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961134901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225015 + ... + 4227371.

It is an arithmetic number, because the mean of its divisors is an integer number (312425568).

Almost surely, 2^9961136901 is an apocalyptic number.

It is an amenable number.

9961136901 is a deficient number, since it is larger than the sum of its proper divisors (5035290363).

9961136901 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9961136900) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2607).

9961136901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 9961136901 is about 99805.4953446953. The cubic root of 9961136901 is about 2151.6401331063.

The spelling of 9961136901 in words is "nine billion, nine hundred sixty-one million, one hundred thirty-six thousand, nine hundred one".