41613656782001 has 2 divisors, whose sum is σ = 41613656782002. Its totient is φ = 41613656782000.

The previous prime is 41613656781847. The next prime is 41613656782003. The reversal of 41613656782001 is 10028765631614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27882370701376 + 13731286080625 = 5280376^2 + 3705575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41613656782001 is a prime.

Together with 41613656782003, 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 (41613656782003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20806828391000 + 20806828391001.

It is an arithmetic number, because the mean of its divisors is an integer number (20806828391001).

Almost surely, 2^{41613656782001} is an apocalyptic number.

It is an amenable number.

41613656782001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41613656782001 is an equidigital number, since it uses as much as digits as its factorization.

41613656782001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 41613656782001 in words is "forty-one trillion, six hundred thirteen billion, six hundred fifty-six million, seven hundred eighty-two thousand, one".