34779900257 has 2 divisors, whose sum is σ = 34779900258. Its totient is φ = 34779900256.

The previous prime is 34779900251. The next prime is 34779900289. The reversal of 34779900257 is 75200997743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21257931601 + 13521968656 = 145801^2 + 116284^2 .

It is a cyclic number.

It is not a de Polignac number, because 34779900257 - 2⁶ = 34779900193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34779900199 and 34779900208.

It is not a weakly prime, because it can be changed into another prime (34779900251) 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, 17389950128 + 17389950129.

It is an arithmetic number, because the mean of its divisors is an integer number (17389950129).

Almost surely, 2^34779900257 is an apocalyptic number.

It is an amenable number.

34779900257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34779900257 is an equidigital number, since it uses as much as digits as its factorization.

34779900257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 53.

The spelling of 34779900257 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred thousand, two hundred fifty-seven".