39687921027225 has 81 divisors (see below), whose sum is σ = 71671284394047. Its totient is φ = 20993872546080.

The previous prime is 39687921027211. The next prime is 39687921027233. The reversal of 39687921027225 is 52272012978693.

The square root of 39687921027225 is 6299835.

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

39687921027225 is a `hidden beast` number, since 3 + 9 + 68 + 79 + 210 + 272 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14287651569801 + 25400269457424 = 3779901^2 + 5039868^2 .

It is not a de Polignac number, because 39687921027225 - 2⁴⁵ = 4503548938393 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, 12001184022 + ... + 12001187328.

Almost surely, 2^{39687921027225} is an apocalyptic number.

39687921027225 is the 6299835-th square number.

39687921027225 is the 3149918-th centered octagonal number.

It is an amenable number.

39687921027225 is a deficient number, since it is larger than the sum of its proper divisors (31983363366822).

39687921027225 is an frugal number, since it uses more digits than its factorization.

39687921027225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 39687921027225 in words is "thirty-nine trillion, six hundred eighty-seven billion, nine hundred twenty-one million, twenty-seven thousand, two hundred twenty-five".