34342500524257 has 2 divisors, whose sum is σ = 34342500524258. Its totient is φ = 34342500524256.

The previous prime is 34342500524251. The next prime is 34342500524347. The reversal of 34342500524257 is 75242500524343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31178029545441 + 3164470978816 = 5583729^2 + 1778896^2 .

It is a cyclic number.

It is not a de Polignac number, because 34342500524257 - 2²³ = 34342492135649 is a prime.

It is not a weakly prime, because it can be changed into another prime (34342500524251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17171250262128 + 17171250262129.

It is an arithmetic number, because the mean of its divisors is an integer number (17171250262129).

Almost surely, 2^{34342500524257} is an apocalyptic number.

It is an amenable number.

34342500524257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34342500524257 is an equidigital number, since it uses as much as digits as its factorization.

34342500524257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032000, while the sum is 46.

The spelling of 34342500524257 in words is "thirty-four trillion, three hundred forty-two billion, five hundred million, five hundred twenty-four thousand, two hundred fifty-seven".