117905827818025 has 81 divisors (see below), whose sum is σ = 160198888699821. Its totient is φ = 86044750471680.

The previous prime is 117905827818017. The next prime is 117905827818047. The reversal of 117905827818025 is 520818728509711.

The square root of 117905827818025 is 10858445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 64649752817049 + 53256075000976 = 8040507^2 + 7297676^2 .

It is not a de Polignac number, because 117905827818025 - 2³ = 117905827818017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62816103387 + ... + 62816105263.

Almost surely, 2^{117905827818025} is an apocalyptic number.

117905827818025 is the 10858445-th square number.

117905827818025 is the 5429223-rd centered octagonal number.

It is an amenable number.

117905827818025 is a deficient number, since it is larger than the sum of its proper divisors (42293060881796).

117905827818025 is an frugal number, since it uses more digits than its factorization.

117905827818025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 64.

The spelling of 117905827818025 in words is "one hundred seventeen trillion, nine hundred five billion, eight hundred twenty-seven million, eight hundred eighteen thousand, twenty-five".