4970735516401 has 2 divisors, whose sum is σ = 4970735516402. Its totient is φ = 4970735516400.

The previous prime is 4970735516389. The next prime is 4970735516413. The reversal of 4970735516401 is 1046155370794.

It is a balanced prime because it is at equal distance from previous prime (4970735516389) and next prime (4970735516413).

It can be written as a sum of positive squares in only one way, i.e., 4967438000625 + 3297515776 = 2228775^2 + 57424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4970735516401 is a prime.

It is a super-2 number, since 2×4970735516401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4970735516701) 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, 2485367758200 + 2485367758201.

It is an arithmetic number, because the mean of its divisors is an integer number (2485367758201).

Almost surely, 2^{4970735516401} is an apocalyptic number.

It is an amenable number.

4970735516401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4970735516401 is an equidigital number, since it uses as much as digits as its factorization.

4970735516401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 4970735516401 in words is "four trillion, nine hundred seventy billion, seven hundred thirty-five million, five hundred sixteen thousand, four hundred one".