12525434078641 has 21 divisors (see below), whose sum is σ = 13783160366697. Its totient is φ = 11382475907220.

The previous prime is 12525434078629. The next prime is 12525434078687. The reversal of 12525434078641 is 14687043452521.

The square root of 12525434078641 is 3539129.

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

It is not a de Polignac number, because 12525434078641 - 2¹⁹ = 12525433554353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12525434078611) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 4710579370 + ... + 4710582028.

Almost surely, 2^{12525434078641} is an apocalyptic number.

12525434078641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12525434078641 is the 3539129-th square number.

12525434078641 is the 1769565-th centered octagonal number.

It is an amenable number.

12525434078641 is a deficient number, since it is larger than the sum of its proper divisors (1257726288056).

12525434078641 is an frugal number, since it uses more digits than its factorization.

12525434078641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 12525434078641 in words is "twelve trillion, five hundred twenty-five billion, four hundred thirty-four million, seventy-eight thousand, six hundred forty-one".