39089192058225 has 81 divisors (see below), whose sum is σ = 70758778707747. Its totient is φ = 20627844065280.

The previous prime is 39089192058199. The next prime is 39089192058283. The reversal of 39089192058225 is 52285029198093.

The square root of 39089192058225 is 6252135.

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

39089192058225 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 9 + 1 + 9 + 20 + 582 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 25589828532321 + 13499363525904 = 5058639^2 + 3674148^2 .

It is not a de Polignac number, because 39089192058225 - 2⁵ = 39089192058193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9096854277 + ... + 9096858573.

Almost surely, 2^{39089192058225} is an apocalyptic number.

39089192058225 is the 6252135-th square number.

39089192058225 is the 3126068-th centered octagonal number.

It is an amenable number.

39089192058225 is a deficient number, since it is larger than the sum of its proper divisors (31669586649522).

39089192058225 is an frugal number, since it uses more digits than its factorization.

39089192058225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 39089192058225 in words is "thirty-nine trillion, eighty-nine billion, one hundred ninety-two million, fifty-eight thousand, two hundred twenty-five".