12593023282225 has 81 divisors (see below), whose sum is σ = 16823640100033. Its totient is φ = 9348943747840.

The previous prime is 12593023282219. The next prime is 12593023282241. The reversal of 12593023282225 is 52228232039521.

The square root of 12593023282225 is 3548665.

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

12593023282225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 294563451169 + 12298459831056 = 542737^2 + 3506916^2 .

It is not a de Polignac number, because 12593023282225 - 2⁵ = 12593023282193 is a prime.

It is a Duffinian 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, 25035831324 + ... + 25035831826.

Almost surely, 2^{12593023282225} is an apocalyptic number.

12593023282225 is the 3548665-th square number.

12593023282225 is the 1774333-rd centered octagonal number.

It is an amenable number.

12593023282225 is a deficient number, since it is larger than the sum of its proper divisors (4230616817808).

12593023282225 is an frugal number, since it uses more digits than its factorization.

12593023282225 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 12593023282225 in words is "twelve trillion, five hundred ninety-three billion, twenty-three million, two hundred eighty-two thousand, two hundred twenty-five".