39009830266225 has 405 divisors, whose sum is σ = 64009043551593. Its totient is φ = 23571292792320.

The previous prime is 39009830266181. The next prime is 39009830266271. The reversal of 39009830266225 is 52266203890093.

The square root of 39009830266225 is 6245785.

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

It can be written as a sum of positive squares in 40 ways, for example, as 38122511481649 + 887318784576 = 6174343^2 + 941976^2 .

It is not a de Polignac number, because 39009830266225 - 2¹⁵ = 39009830233457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 736034533299 + ... + 736034533351.

Almost surely, 2^{39009830266225} is an apocalyptic number.

39009830266225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39009830266225 is the 6245785-th square number.

39009830266225 is the 3122893-rd centered octagonal number.

It is an amenable number.

39009830266225 is a deficient number, since it is larger than the sum of its proper divisors (24999213285368).

39009830266225 is an frugal number, since it uses more digits than its factorization.

39009830266225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 39009830266225 in words is "thirty-nine trillion, nine billion, eight hundred thirty million, two hundred sixty-six thousand, two hundred twenty-five".