2025822405601 has 2 divisors, whose sum is σ = 2025822405602. Its totient is φ = 2025822405600.

The previous prime is 2025822405457. The next prime is 2025822405623. The reversal of 2025822405601 is 1065042285202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1786168098576 + 239654307025 = 1336476^2 + 489545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2025822405601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2025822405641) 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 as a sum of consecutive naturals, namely, 1012911202800 + 1012911202801.

It is an arithmetic number, because the mean of its divisors is an integer number (1012911202801).

Almost surely, 2^{2025822405601} is an apocalyptic number.

It is an amenable number.

2025822405601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2025822405601 is an equidigital number, since it uses as much as digits as its factorization.

2025822405601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 2025822405601 in words is "two trillion, twenty-five billion, eight hundred twenty-two million, four hundred five thousand, six hundred one".