41625803034689 has 2 divisors, whose sum is σ = 41625803034690. Its totient is φ = 41625803034688.

The previous prime is 41625803034659. The next prime is 41625803034701. The reversal of 41625803034689 is 98643030852614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30813412266289 + 10812390768400 = 5550983^2 + 3288220^2 .

It is a cyclic number.

It is not a de Polignac number, because 41625803034689 - 2¹² = 41625803030593 is a prime.

It is not a weakly prime, because it can be changed into another prime (41625803034659) 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 as a sum of consecutive naturals, namely, 20812901517344 + 20812901517345.

It is an arithmetic number, because the mean of its divisors is an integer number (20812901517345).

Almost surely, 2^{41625803034689} is an apocalyptic number.

It is an amenable number.

41625803034689 is a deficient number, since it is larger than the sum of its proper divisors (1).

41625803034689 is an equidigital number, since it uses as much as digits as its factorization.

41625803034689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 41625803034689 in words is "forty-one trillion, six hundred twenty-five billion, eight hundred three million, thirty-four thousand, six hundred eighty-nine".