10305003004601 has 2 divisors, whose sum is σ = 10305003004602. Its totient is φ = 10305003004600.

The previous prime is 10305003004567. The next prime is 10305003004643. The reversal of 10305003004601 is 10640030050301.

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., 6930345828025 + 3374657176576 = 2632555^2 + 1837024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305003004601 - 2¹⁰ = 10305003003577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10305003094601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152501502300 + 5152501502301.

It is an arithmetic number, because the mean of its divisors is an integer number (5152501502301).

Almost surely, 2^{10305003004601} is an apocalyptic number.

It is an amenable number.

10305003004601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305003004601 is an equidigital number, since it uses as much as digits as its factorization.

10305003004601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 10305003004601 its reverse (10640030050301), we get a palindrome (20945033054902).

The spelling of 10305003004601 in words is "ten trillion, three hundred five billion, three million, four thousand, six hundred one".