9273395300625 has 135 divisors (see below), whose sum is σ = 17673870965751. Its totient is φ = 4683312432000.

The previous prime is 9273395300599. The next prime is 9273395300627. The reversal of 9273395300625 is 5260035933729.

The square root of 9273395300625 is 3045225.

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

9273395300625 is a `hidden beast` number, since 9 + 2 + 7 + 3 + 3 + 9 + 5 + 3 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9229012609041 + 44382691584 = 3037929^2 + 210672^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9273395300625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9273395300627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4339444557 + ... + 4339446693.

Almost surely, 2^{9273395300625} is an apocalyptic number.

9273395300625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9273395300625 is the 3045225-th square number.

9273395300625 is the 1522613-rd centered octagonal number.

It is an amenable number.

9273395300625 is a deficient number, since it is larger than the sum of its proper divisors (8400475665126).

9273395300625 is an frugal number, since it uses more digits than its factorization.

9273395300625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 9273395300625 in words is "nine trillion, two hundred seventy-three billion, three hundred ninety-five million, three hundred thousand, six hundred twenty-five".