41825418837253 has 2 divisors, whose sum is σ = 41825418837254. Its totient is φ = 41825418837252.

The previous prime is 41825418837199. The next prime is 41825418837281. The reversal of 41825418837253 is 35273881452814.

41825418837253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40838720308324 + 986698528929 = 6390518^2 + 993327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41825418837253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41825418837191 and 41825418837200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41825418337253) 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, 20912709418626 + 20912709418627.

It is an arithmetic number, because the mean of its divisors is an integer number (20912709418627).

Almost surely, 2^{41825418837253} is an apocalyptic number.

It is an amenable number.

41825418837253 is a deficient number, since it is larger than the sum of its proper divisors (1).

41825418837253 is an equidigital number, since it uses as much as digits as its factorization.

41825418837253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51609600, while the sum is 61.

The spelling of 41825418837253 in words is "forty-one trillion, eight hundred twenty-five billion, four hundred eighteen million, eight hundred thirty-seven thousand, two hundred fifty-three".