117673011225 has 405 divisors, whose sum is σ = 280050601935. Its totient is φ = 48903069600.

The previous prime is 117673011187. The next prime is 117673011227. The reversal of 117673011225 is 522110376711.

The square root of 117673011225 is 343035.

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., 42362284041 + 75310727184 = 205821^2 + 274428^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 117673011225 - 2¹¹ = 117673009177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 117673011225.

It is not an unprimeable number, because it can be changed into a prime (117673011227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 10697546470 + ... + 10697546480.

Almost surely, 2^117673011225 is an apocalyptic number.

117673011225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117673011225 is the 343035-th square number.

117673011225 is the 171518-th centered octagonal number.

It is an amenable number.

117673011225 is an abundant number, since it is smaller than the sum of its proper divisors (162377590710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117673011225 is an frugal number, since it uses more digits than its factorization.

117673011225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 117673011225 by its sum of digits (36), we get a square (4236228404100 = 2058210²).

Adding to 117673011225 its reverse (522110376711), we get a palindrome (639783387936).

It can be divided in two parts, 11767301 and 1225, that added together give a triangular number (11768526 = T₄₈₅₁).

The spelling of 117673011225 in words is "one hundred seventeen billion, six hundred seventy-three million, eleven thousand, two hundred twenty-five".