12590681272225 has 63 divisors (see below), whose sum is σ = 18223304571577. Its totient is φ = 8629437173280.

The previous prime is 12590681272123. The next prime is 12590681272321. The reversal of 12590681272225 is 52227218609521.

It is a happy number.

The square root of 12590681272225 is 3548335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3111868874401 + 9478812397824 = 1764049^2 + 3078768^2 .

It is not a de Polignac number, because 12590681272225 - 2¹⁷ = 12590681141153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6085393491 + ... + 6085395559.

Almost surely, 2^{12590681272225} is an apocalyptic number.

12590681272225 is the 3548335-th square number.

12590681272225 is the 1774168-th centered octagonal number.

It is an amenable number.

12590681272225 is a deficient number, since it is larger than the sum of its proper divisors (5632623299352).

12590681272225 is an frugal number, since it uses more digits than its factorization.

12590681272225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 12590681272225 in words is "twelve trillion, five hundred ninety billion, six hundred eighty-one million, two hundred seventy-two thousand, two hundred twenty-five".