25837541801 has 2 divisors, whose sum is σ = 25837541802. Its totient is φ = 25837541800.

The previous prime is 25837541791. The next prime is 25837541803. The reversal of 25837541801 is 10814573852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19137955600 + 6699586201 = 138340^2 + 81851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25837541801 is a prime.

Together with 25837541803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (25837541803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12918770900 + 12918770901.

It is an arithmetic number, because the mean of its divisors is an integer number (12918770901).

Almost surely, 2^25837541801 is an apocalyptic number.

It is an amenable number.

25837541801 is a deficient number, since it is larger than the sum of its proper divisors (1).

25837541801 is an equidigital number, since it uses as much as digits as its factorization.

25837541801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 25837541801 in words is "twenty-five billion, eight hundred thirty-seven million, five hundred forty-one thousand, eight hundred one".