10605237075649 has 2 divisors, whose sum is σ = 10605237075650. Its totient is φ = 10605237075648.

The previous prime is 10605237075571. The next prime is 10605237075659. The reversal of 10605237075649 is 94657073250601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10414774659249 + 190462416400 = 3227193^2 + 436420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605237075649 - 2²¹ = 10605234978497 is a prime.

It is a super-3 number, since 3×10605237075649³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10605237075649.

It is not a weakly prime, because it can be changed into another prime (10605237075659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302618537824 + 5302618537825.

It is an arithmetic number, because the mean of its divisors is an integer number (5302618537825).

Almost surely, 2^{10605237075649} is an apocalyptic number.

It is an amenable number.

10605237075649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605237075649 is an equidigital number, since it uses as much as digits as its factorization.

10605237075649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 10605237075649 in words is "ten trillion, six hundred five billion, two hundred thirty-seven million, seventy-five thousand, six hundred forty-nine".