34493751503117 has 2 divisors, whose sum is σ = 34493751503118. Its totient is φ = 34493751503116.

The previous prime is 34493751503077. The next prime is 34493751503219. The reversal of 34493751503117 is 71130515739443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27094377711076 + 7399373792041 = 5205226^2 + 2720179^2 .

It is a cyclic number.

It is not a de Polignac number, because 34493751503117 - 2¹⁶ = 34493751437581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34493751503917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17246875751558 + 17246875751559.

It is an arithmetic number, because the mean of its divisors is an integer number (17246875751559).

Almost surely, 2^{34493751503117} is an apocalyptic number.

It is an amenable number.

34493751503117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34493751503117 is an equidigital number, since it uses as much as digits as its factorization.

34493751503117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4762800, while the sum is 53.

The spelling of 34493751503117 in words is "thirty-four trillion, four hundred ninety-three billion, seven hundred fifty-one million, five hundred three thousand, one hundred seventeen".