1025620027441 has 9 divisors (see below), whose sum is σ = 1039937038209. Its totient is φ = 1011497521536.

The previous prime is 1025620027427. The next prime is 1025620027457. The reversal of 1025620027441 is 1447200265201.

The square root of 1025620027441 is 1012729.

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 1071187441 + 1024548840000 = 32729^2 + 1012200^2 .

It is not a de Polignac number, because 1025620027441 - 2⁵ = 1025620027409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1025620027397 and 1025620027406.

It is not an unprimeable number, because it can be changed into a prime (1025620027741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73922281 + ... + 73936153.

It is an arithmetic number, because the mean of its divisors is an integer number (115548559801).

Almost surely, 2^{1025620027441} is an apocalyptic number.

1025620027441 is the 1012729-th square number.

1025620027441 is the 506365-th centered octagonal number.

It is an amenable number.

1025620027441 is a deficient number, since it is larger than the sum of its proper divisors (14317010768).

1025620027441 is an frugal number, since it uses more digits than its factorization.

1025620027441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27892 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 1025620027441 in words is "one trillion, twenty-five billion, six hundred twenty million, twenty-seven thousand, four hundred forty-one".