39626874225 has 81 divisors (see below), whose sum is σ = 74325036513. Its totient is φ = 20180413440.

The previous prime is 39626874193. The next prime is 39626874227. The reversal of 39626874225 is 52247862693.

The square root of 39626874225 is 199065.

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

39626874225 is a `hidden beast` number, since 3 + 9 + 626 + 8 + 7 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11188773729 + 28438100496 = 105777^2 + 168636^2 .

It is not a de Polignac number, because 39626874225 - 2⁵ = 39626874193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39626874227) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 68677137 + ... + 68677713.

Almost surely, 2^39626874225 is an apocalyptic number.

39626874225 is the 199065-th square number.

39626874225 is the 99533-rd centered octagonal number.

It is an amenable number.

39626874225 is a deficient number, since it is larger than the sum of its proper divisors (34698162288).

39626874225 is an equidigital number, since it uses as much as digits as its factorization.

39626874225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 608 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 39626874225 in words is "thirty-nine billion, six hundred twenty-six million, eight hundred seventy-four thousand, two hundred twenty-five".