2117713625 has 8 divisors (see below), whose sum is σ = 2642906760. Its totient is φ = 1694170800.

The previous prime is 2117713601. The next prime is 2117713649. The reversal of 2117713625 is 5263177112.

It is an interprime number because it is at equal distance from previous prime (2117713601) and next prime (2117713649).

It can be written as a sum of positive squares in 4 ways, for example, as 215619856 + 1902093769 = 14684^2 + 43613^2 .

It is not a de Polignac number, because 2117713625 - 2¹⁶ = 2117648089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8470730 + ... + 8470979.

It is an arithmetic number, because the mean of its divisors is an integer number (330363345).

Almost surely, 2^2117713625 is an apocalyptic number.

2117713625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2117713625 is a deficient number, since it is larger than the sum of its proper divisors (525193135).

2117713625 is an equidigital number, since it uses as much as digits as its factorization.

2117713625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941724 (or 16941714 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 2117713625 is about 46018.6225891215. The cubic root of 2117713625 is about 1284.1696756018.

The spelling of 2117713625 in words is "two billion, one hundred seventeen million, seven hundred thirteen thousand, six hundred twenty-five".