3004001248961 has 2 divisors, whose sum is σ = 3004001248962. Its totient is φ = 3004001248960.

The previous prime is 3004001248951. The next prime is 3004001248973. The reversal of 3004001248961 is 1698421004003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2790423247936 + 213578001025 = 1670456^2 + 462145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3004001248961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3004001248931) 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, 1502000624480 + 1502000624481.

It is an arithmetic number, because the mean of its divisors is an integer number (1502000624481).

Almost surely, 2^{3004001248961} is an apocalyptic number.

It is an amenable number.

3004001248961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004001248961 is an equidigital number, since it uses as much as digits as its factorization.

3004001248961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 3004001248961 in words is "three trillion, four billion, one million, two hundred forty-eight thousand, nine hundred sixty-one".