117217641825 has 36 divisors (see below), whose sum is σ = 211482356748. Its totient is φ = 62059737600.

The previous prime is 117217641791. The next prime is 117217641839. The reversal of 117217641825 is 528146712711.

117217641825 is a `hidden beast` number, since 1 + 17 + 217 + 6 + 418 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1650959424 + 115566682401 = 40632^2 + 339951^2 .

It is not a de Polignac number, because 117217641825 - 2⁹ = 117217641313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1870516 + ... + 1932165.

Almost surely, 2^117217641825 is an apocalyptic number.

117217641825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117217641825 is a deficient number, since it is larger than the sum of its proper divisors (94264714923).

117217641825 is a wasteful number, since it uses less digits than its factorization.

117217641825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802834 (or 3802826 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 117217641825 in words is "one hundred seventeen billion, two hundred seventeen million, six hundred forty-one thousand, eight hundred twenty-five".