9961289134801 has 3 divisors (see below), whose sum is σ = 9961292290953. Its totient is φ = 9961285978650.

The previous prime is 9961289134787. The next prime is 9961289134829. The reversal of 9961289134801 is 1084319821699.

The square root of 9961289134801 is 3156151.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 9961289134801 - 2⁴³ = 1165196112593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9961289134801.

It is not an unprimeable number, because it can be changed into a prime (9961289134871) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1578076 + ... + 4734226.

It is an arithmetic number, because the mean of its divisors is an integer number (3320430763651).

Almost surely, 2^{9961289134801} is an apocalyptic number.

9961289134801 is the 3156151-st square number.

9961289134801 is the 1578076-th centered octagonal number.

It is an amenable number.

9961289134801 is a deficient number, since it is larger than the sum of its proper divisors (3156152).

9961289134801 is an frugal number, since it uses more digits than its factorization.

9961289134801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312302 (or 3156151 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 61.

The spelling of 9961289134801 in words is "nine trillion, nine hundred sixty-one billion, two hundred eighty-nine million, one hundred thirty-four thousand, eight hundred one".