34013618257 has 2 divisors, whose sum is σ = 34013618258. Its totient is φ = 34013618256.

The previous prime is 34013618251. The next prime is 34013618263. The reversal of 34013618257 is 75281631043.

It is a balanced prime because it is at equal distance from previous prime (34013618251) and next prime (34013618263).

It can be written as a sum of positive squares in only one way, i.e., 21781037056 + 12232581201 = 147584^2 + 110601^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013618257 - 2³¹ = 31866134609 is a prime.

It is not a weakly prime, because it can be changed into another prime (34013618251) 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, 17006809128 + 17006809129.

It is an arithmetic number, because the mean of its divisors is an integer number (17006809129).

Almost surely, 2^34013618257 is an apocalyptic number.

It is an amenable number.

34013618257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013618257 is an equidigital number, since it uses as much as digits as its factorization.

34013618257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 34013618257 in words is "thirty-four billion, thirteen million, six hundred eighteen thousand, two hundred fifty-seven".