34375340248657 has 2 divisors, whose sum is σ = 34375340248658. Its totient is φ = 34375340248656.

The previous prime is 34375340248619. The next prime is 34375340248751. The reversal of 34375340248657 is 75684204357343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25980622100161 + 8394718148496 = 5097119^2 + 2897364^2 .

It is a cyclic number.

It is not a de Polignac number, because 34375340248657 - 2¹⁵ = 34375340215889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34375340248595 and 34375340248604.

It is not a weakly prime, because it can be changed into another prime (34375340288657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17187670124328 + 17187670124329.

It is an arithmetic number, because the mean of its divisors is an integer number (17187670124329).

Almost surely, 2^{34375340248657} is an apocalyptic number.

It is an amenable number.

34375340248657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34375340248657 is an equidigital number, since it uses as much as digits as its factorization.

34375340248657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 203212800, while the sum is 61.

The spelling of 34375340248657 in words is "thirty-four trillion, three hundred seventy-five billion, three hundred forty million, two hundred forty-eight thousand, six hundred fifty-seven".