41001624823097 has 2 divisors, whose sum is σ = 41001624823098. Its totient is φ = 41001624823096.

The previous prime is 41001624823063. The next prime is 41001624823123. The reversal of 41001624823097 is 79032842610014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40300354241536 + 701270581561 = 6348256^2 + 837419^2 .

It is a cyclic number.

It is not a de Polignac number, because 41001624823097 - 2¹⁴ = 41001624806713 is a prime.

It is a super-2 number, since 2×41001624823097² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41001624823007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20500812411548 + 20500812411549.

It is an arithmetic number, because the mean of its divisors is an integer number (20500812411549).

Almost surely, 2^{41001624823097} is an apocalyptic number.

It is an amenable number.

41001624823097 is a deficient number, since it is larger than the sum of its proper divisors (1).

41001624823097 is an equidigital number, since it uses as much as digits as its factorization.

41001624823097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 41001624823097 in words is "forty-one trillion, one billion, six hundred twenty-four million, eight hundred twenty-three thousand, ninety-seven".