4735516417 has 2 divisors, whose sum is σ = 4735516418. Its totient is φ = 4735516416.

The previous prime is 4735516399. The next prime is 4735516439. The reversal of 4735516417 is 7146155374.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4533194241 + 202322176 = 67329^2 + 14224^2 .

It is a cyclic number.

It is not a de Polignac number, because 4735516417 - 2²³ = 4727127809 is a prime.

It is not a weakly prime, because it can be changed into another prime (4735516477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2367758208 + 2367758209.

It is an arithmetic number, because the mean of its divisors is an integer number (2367758209).

Almost surely, 2^4735516417 is an apocalyptic number.

It is an amenable number.

4735516417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4735516417 is an equidigital number, since it uses as much as digits as its factorization.

4735516417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 43.

The square root of 4735516417 is about 68815.0885852805. The cubic root of 4735516417 is about 1679.2774218037.

The spelling of 4735516417 in words is "four billion, seven hundred thirty-five million, five hundred sixteen thousand, four hundred seventeen".