4960728514561 has 2 divisors, whose sum is σ = 4960728514562. Its totient is φ = 4960728514560.

The previous prime is 4960728514559. The next prime is 4960728514591. The reversal of 4960728514561 is 1654158270694.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4833978274161 + 126750240400 = 2198631^2 + 356020^2 .

It is a cyclic number.

It is not a de Polignac number, because 4960728514561 - 2¹ = 4960728514559 is a prime.

Together with 4960728514559, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4960728514496 and 4960728514505.

It is not a weakly prime, because it can be changed into another prime (4960728514591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2480364257280 + 2480364257281.

It is an arithmetic number, because the mean of its divisors is an integer number (2480364257281).

Almost surely, 2^{4960728514561} is an apocalyptic number.

It is an amenable number.

4960728514561 is a deficient number, since it is larger than the sum of its proper divisors (1).

4960728514561 is an equidigital number, since it uses as much as digits as its factorization.

4960728514561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 4960728514561 in words is "four trillion, nine hundred sixty billion, seven hundred twenty-eight million, five hundred fourteen thousand, five hundred sixty-one".