9549577077121 has 9 divisors (see below), whose sum is σ = 9568151426883. Its totient is φ = 9531038733360.

The previous prime is 9549577077101. The next prime is 9549577077197. The reversal of 9549577077121 is 1217707759459.

The square root of 9549577077121 is 3090239.

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

It can be written as a sum of positive squares in only one way, i.e., 1573923302721 + 7975653774400 = 1254561^2 + 2824120^2 .

It is not a de Polignac number, because 9549577077121 - 2¹⁵ = 9549577044353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9549577077101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1758343276 + ... + 1758348706.

Almost surely, 2^{9549577077121} is an apocalyptic number.

9549577077121 is the 3090239-th square number.

9549577077121 is the 1545120-th centered octagonal number.

It is an amenable number.

9549577077121 is a deficient number, since it is larger than the sum of its proper divisors (18574349762).

9549577077121 is an frugal number, since it uses more digits than its factorization.

9549577077121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 64.

Multiplying 9549577077121 by its sum of digits (64), we get a square (611172932935744 = 24721912²).

The spelling of 9549577077121 in words is "nine trillion, five hundred forty-nine billion, five hundred seventy-seven million, seventy-seven thousand, one hundred twenty-one".