12541903517025 has 189 divisors, whose sum is σ = 23998350934971. Its totient is φ = 6499051562880.

The previous prime is 12541903517023. The next prime is 12541903517051. The reversal of 12541903517025 is 52071530914521.

The square root of 12541903517025 is 3541455.

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

12541903517025 is a `hidden beast` number, since 1 + 2 + 5 + 41 + 90 + 3 + 517 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7495105322961 + 5046798194064 = 2737719^2 + 2246508^2 .

It is not a de Polignac number, because 12541903517025 - 2¹ = 12541903517023 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12541903517023) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 17689567371 + ... + 17689568079.

Almost surely, 2^{12541903517025} is an apocalyptic number.

12541903517025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12541903517025 is the 3541455-th square number.

12541903517025 is the 1770728-th centered octagonal number.

It is an amenable number.

12541903517025 is a deficient number, since it is larger than the sum of its proper divisors (11456447417946).

12541903517025 is an frugal number, since it uses more digits than its factorization.

12541903517025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 12541903517025 in words is "twelve trillion, five hundred forty-one billion, nine hundred three million, five hundred seventeen thousand, twenty-five".