12565289025 has 135 divisors (see below), whose sum is σ = 24238178041. Its totient is φ = 6435149760.

The previous prime is 12565289003. The next prime is 12565289027. The reversal of 12565289025 is 52098256521.

The square root of 12565289025 is 112095.

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

12565289025 is a `hidden beast` number, since 1 + 2 + 565 + 2 + 89 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94653441 + 12470635584 = 9729^2 + 111672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-12565289025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12565289027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 237080899 + ... + 237080951.

Almost surely, 2^12565289025 is an apocalyptic number.

12565289025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12565289025 is the 112095-th square number.

12565289025 is the 56048-th centered octagonal number.

It is an amenable number.

12565289025 is a deficient number, since it is larger than the sum of its proper divisors (11672889016).

12565289025 is an frugal number, since it uses more digits than its factorization.

12565289025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12565289025 in words is "twelve billion, five hundred sixty-five million, two hundred eighty-nine thousand, twenty-five".