7173617117121 has 72 divisors (see below), whose sum is σ = 13052550160104. Its totient is φ = 3762979960320.

The previous prime is 7173617117101. The next prime is 7173617117153. The reversal of 7173617117121 is 1217117163717.

7173617117121 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 617 + 1 + 1 + 7 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72932403600 + 7100684713521 = 270060^2 + 2664711^2 .

It is not a de Polignac number, because 7173617117121 - 2⁶ = 7173617117057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7173617117101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2418916 + ... + 4494261.

Almost surely, 2^{7173617117121} is an apocalyptic number.

It is an amenable number.

7173617117121 is a deficient number, since it is larger than the sum of its proper divisors (5878933042983).

7173617117121 is a wasteful number, since it uses less digits than its factorization.

7173617117121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913391 (or 6913381 counting only the distinct ones).

The product of its digits is 86436, while the sum is 45.

The spelling of 7173617117121 in words is "seven trillion, one hundred seventy-three billion, six hundred seventeen million, one hundred seventeen thousand, one hundred twenty-one".