117352573665601 has 8 divisors (see below), whose sum is σ = 117630149448744. Its totient is φ = 117075297158400.

The previous prime is 117352573665559. The next prime is 117352573665617. The reversal of 117352573665601 is 106566375253711.

It can be written as a sum of positive squares in 4 ways, for example, as 11114222440000 + 106238351225601 = 3333800^2 + 10307199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 117352573665601 - 2¹⁹ = 117352573141313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117352573665101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74033806 + ... + 75602311.

It is an arithmetic number, because the mean of its divisors is an integer number (14703768681093).

Almost surely, 2^{117352573665601} is an apocalyptic number.

It is an amenable number.

117352573665601 is a deficient number, since it is larger than the sum of its proper divisors (277575783143).

117352573665601 is a wasteful number, since it uses less digits than its factorization.

117352573665601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149637971.

The product of its (nonzero) digits is 23814000, while the sum is 58.

The spelling of 117352573665601 in words is "one hundred seventeen trillion, three hundred fifty-two billion, five hundred seventy-three million, six hundred sixty-five thousand, six hundred one".