34134300291251 has 2 divisors, whose sum is σ = 34134300291252. Its totient is φ = 34134300291250.

The previous prime is 34134300291233. The next prime is 34134300291269. The reversal of 34134300291251 is 15219200343143.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (34134300291233) and next prime (34134300291269).

It is a cyclic number.

It is not a de Polignac number, because 34134300291251 - 2²² = 34134296096947 is a prime.

It is not a weakly prime, because it can be changed into another prime (34134300291211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067150145625 + 17067150145626.

It is an arithmetic number, because the mean of its divisors is an integer number (17067150145626).

Almost surely, 2^{34134300291251} is an apocalyptic number.

34134300291251 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134300291251 is an equidigital number, since it uses as much as digits as its factorization.

34134300291251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 34134300291251 in words is "thirty-four trillion, one hundred thirty-four billion, three hundred million, two hundred ninety-one thousand, two hundred fifty-one".