117182465257225 has 9 divisors (see below), whose sum is σ = 145306324034517. Its totient is φ = 93745928905440.

The previous prime is 117182465257199. The next prime is 117182465257241. The reversal of 117182465257225 is 522752564281711.

The square root of 117182465257225 is 10825085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29872204009209 + 87310261248016 = 5465547^2 + 9343996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-117182465257225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 117182465257225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53042917 + ... + 55207933.

Almost surely, 2^{117182465257225} is an apocalyptic number.

117182465257225 is the 10825085-th square number.

117182465257225 is the 5412543-rd centered octagonal number.

It is an amenable number.

117182465257225 is a deficient number, since it is larger than the sum of its proper divisors (28123858777292).

117182465257225 is an frugal number, since it uses more digits than its factorization.

117182465257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330044 (or 2165022 counting only the distinct ones).

The product of its digits is 18816000, while the sum is 58.

The spelling of 117182465257225 in words is "one hundred seventeen trillion, one hundred eighty-two billion, four hundred sixty-five million, two hundred fifty-seven thousand, two hundred twenty-five".