9200514565225 has 27 divisors (see below), whose sum is σ = 11549327748933. Its totient is φ = 7270737092640.

The previous prime is 9200514565217. The next prime is 9200514565259. The reversal of 9200514565225 is 5225654150029.

The square root of 9200514565225 is 3033235.

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 363402803241 + 8837111761984 = 602829^2 + 2972728^2 .

It is not a de Polignac number, because 9200514565225 - 2³ = 9200514565217 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1258788871 + ... + 1258796179.

Almost surely, 2^{9200514565225} is an apocalyptic number.

9200514565225 is the 3033235-th square number.

9200514565225 is the 1516618-th centered octagonal number.

It is an amenable number.

9200514565225 is a deficient number, since it is larger than the sum of its proper divisors (2348813183708).

9200514565225 is an frugal number, since it uses more digits than its factorization.

9200514565225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14794 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 9200514565225 in words is "nine trillion, two hundred billion, five hundred fourteen million, five hundred sixty-five thousand, two hundred twenty-five".