9303262515625 has 63 divisors (see below), whose sum is σ = 12598984844211. Its totient is φ = 6866441400000.

The previous prime is 9303262515581. The next prime is 9303262515643. The reversal of 9303262515625 is 5265152623039.

The square root of 9303262515625 is 3050125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 86185106329 + 9217077409296 = 293573^2 + 3035964^2 .

It is not a de Polignac number, because 9303262515625 - 2¹⁷ = 9303262384553 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 62 ways as a sum of consecutive naturals, for example, 4956452187 + ... + 4956454063.

Almost surely, 2^{9303262515625} is an apocalyptic number.

9303262515625 is the 3050125-th square number.

9303262515625 is the 1525063-rd centered octagonal number.

It is an amenable number.

9303262515625 is a deficient number, since it is larger than the sum of its proper divisors (3295722328586).

9303262515625 is an frugal number, since it uses more digits than its factorization.

9303262515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

Multiplying 9303262515625 by its sum of digits (49), we get a square (455859863265625 = 21350875²).

The spelling of 9303262515625 in words is "nine trillion, three hundred three billion, two hundred sixty-two million, five hundred fifteen thousand, six hundred twenty-five".