34002000257 has 2 divisors, whose sum is σ = 34002000258. Its totient is φ = 34002000256.

The previous prime is 34002000233. The next prime is 34002000269. The reversal of 34002000257 is 75200020043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18307172416 + 15694827841 = 135304^2 + 125279^2 .

It is a cyclic number.

It is not a de Polignac number, because 34002000257 - 2²² = 33997805953 is a prime.

It is a super-2 number, since 2×34002000257² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34002000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001000128 + 17001000129.

It is an arithmetic number, because the mean of its divisors is an integer number (17001000129).

Almost surely, 2^34002000257 is an apocalyptic number.

It is an amenable number.

34002000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34002000257 is an equidigital number, since it uses as much as digits as its factorization.

34002000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 23.

The spelling of 34002000257 in words is "thirty-four billion, two million, two hundred fifty-seven", and thus it is an aban number.