10315305652241 has 2 divisors, whose sum is σ = 10315305652242. Its totient is φ = 10315305652240.

The previous prime is 10315305652199. The next prime is 10315305652261. The reversal of 10315305652241 is 14225650351301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6446724121600 + 3868581530641 = 2539040^2 + 1966871^2 .

It is an emirp because it is prime and its reverse (14225650351301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10315305652241 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10315305652195 and 10315305652204.

It is not a weakly prime, because it can be changed into another prime (10315305652261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157652826120 + 5157652826121.

It is an arithmetic number, because the mean of its divisors is an integer number (5157652826121).

Almost surely, 2^{10315305652241} is an apocalyptic number.

It is an amenable number.

10315305652241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315305652241 is an equidigital number, since it uses as much as digits as its factorization.

10315305652241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10315305652241 in words is "ten trillion, three hundred fifteen billion, three hundred five million, six hundred fifty-two thousand, two hundred forty-one".