41621181002657 has 2 divisors, whose sum is σ = 41621181002658. Its totient is φ = 41621181002656.

The previous prime is 41621181002593. The next prime is 41621181002833. The reversal of 41621181002657 is 75620018112614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21064832046736 + 20556348955921 = 4589644^2 + 4533911^2 .

It is a cyclic number.

It is not a de Polignac number, because 41621181002657 - 2⁶ = 41621181002593 is a prime.

It is a super-3 number, since 3×41621181002657³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (41621181502657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20810590501328 + 20810590501329.

It is an arithmetic number, because the mean of its divisors is an integer number (20810590501329).

Almost surely, 2^{41621181002657} is an apocalyptic number.

It is an amenable number.

41621181002657 is a deficient number, since it is larger than the sum of its proper divisors (1).

41621181002657 is an equidigital number, since it uses as much as digits as its factorization.

41621181002657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 41621181002657 in words is "forty-one trillion, six hundred twenty-one billion, one hundred eighty-one million, two thousand, six hundred fifty-seven".