41621164981657 has 2 divisors, whose sum is σ = 41621164981658. Its totient is φ = 41621164981656.

The previous prime is 41621164981651. The next prime is 41621164981729. The reversal of 41621164981657 is 75618946112614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26434158485056 + 15187006496601 = 5141416^2 + 3897051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41621164981657 is a prime.

It is a super-2 number, since 2×41621164981657² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41621164981595 and 41621164981604.

It is not a weakly prime, because it can be changed into another prime (41621164981651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20810582490828 + 20810582490829.

It is an arithmetic number, because the mean of its divisors is an integer number (20810582490829).

Almost surely, 2^{41621164981657} is an apocalyptic number.

It is an amenable number.

41621164981657 is a deficient number, since it is larger than the sum of its proper divisors (1).

41621164981657 is an equidigital number, since it uses as much as digits as its factorization.

41621164981657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17418240, while the sum is 61.

The spelling of 41621164981657 in words is "forty-one trillion, six hundred twenty-one billion, one hundred sixty-four million, nine hundred eighty-one thousand, six hundred fifty-seven".