65303708507041 has 27 divisors (see below), whose sum is σ = 67000023757233. Its totient is φ = 63650070867240.

The previous prime is 65303708507021. The next prime is 65303708507047. The reversal of 65303708507041 is 14070580730356.

The square root of 65303708507041 is 8081071.

It is a perfect power (a square), and thus also a powerful number.

65303708507041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65303708507041 - 2⁷ = 65303708506913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65303708507047) 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 in 26 ways as a sum of consecutive naturals, for example, 55767470386 + ... + 55767471556.

It is an arithmetic number, because the mean of its divisors is an integer number (2481482361379).

Almost surely, 2^{65303708507041} is an apocalyptic number.

65303708507041 is the 8081071-st square number.

65303708507041 is the 4040536-th centered octagonal number.

It is an amenable number.

65303708507041 is a deficient number, since it is larger than the sum of its proper divisors (1696315250192).

65303708507041 is an frugal number, since it uses more digits than its factorization.

65303708507041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 65303708507041 in words is "sixty-five trillion, three hundred three billion, seven hundred eight million, five hundred seven thousand, forty-one".