71184403297225 has 27 divisors (see below), whose sum is σ = 88404928171903. Its totient is φ = 56859743205440.

The previous prime is 71184403297201. The next prime is 71184403297237. The reversal of 71184403297225 is 52279230448117.

The square root of 71184403297225 is 8437085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11906661063609 + 59277742233616 = 3450603^2 + 7699204^2 .

It is a de Polignac number, because none of the positive numbers 2^k-71184403297225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51845886639 + ... + 51845888011.

Almost surely, 2^{71184403297225} is an apocalyptic number.

71184403297225 is the 8437085-th square number.

71184403297225 is the 4218543-rd centered octagonal number.

It is an amenable number.

71184403297225 is a deficient number, since it is larger than the sum of its proper divisors (17220524874678).

71184403297225 is an frugal number, since it uses more digits than its factorization.

71184403297225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 71184403297225 in words is "seventy-one trillion, one hundred eighty-four billion, four hundred three million, two hundred ninety-seven thousand, two hundred twenty-five".