12597282040225 has 9 divisors (see below), whose sum is σ = 15620651735353. Its totient is φ = 10077811435120.

The previous prime is 12597282040163. The next prime is 12597282040247. The reversal of 12597282040225 is 52204028279521.

The square root of 12597282040225 is 3549265.

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 7341157234849 + 5256124805376 = 2709457^2 + 2292624^2 .

It is not a de Polignac number, because 12597282040225 - 2²³ = 12597273651617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 17391399 + ... + 18101251.

Almost surely, 2^{12597282040225} is an apocalyptic number.

12597282040225 is the 3549265-th square number.

12597282040225 is the 1774633-rd centered octagonal number.

It is an amenable number.

12597282040225 is a deficient number, since it is larger than the sum of its proper divisors (3023369695128).

12597282040225 is an frugal number, since it uses more digits than its factorization.

12597282040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419716 (or 709858 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 12597282040225 by its sum of digits (49), we get a square (617266819971025 = 24844855²).

The spelling of 12597282040225 in words is "twelve trillion, five hundred ninety-seven billion, two hundred eighty-two million, forty thousand, two hundred twenty-five".