34205952415951 has 2 divisors, whose sum is σ = 34205952415952. Its totient is φ = 34205952415950.

The previous prime is 34205952415933. The next prime is 34205952415963. The reversal of 34205952415951 is 15951425950243.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34205952415951 - 2³⁷ = 34068513462479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34205952415892 and 34205952415901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34205952415991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17102976207975 + 17102976207976.

It is an arithmetic number, because the mean of its divisors is an integer number (17102976207976).

Almost surely, 2^{34205952415951} is an apocalyptic number.

34205952415951 is a deficient number, since it is larger than the sum of its proper divisors (1).

34205952415951 is an equidigital number, since it uses as much as digits as its factorization.

34205952415951 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720000, while the sum is 55.

The spelling of 34205952415951 in words is "thirty-four trillion, two hundred five billion, nine hundred fifty-two million, four hundred fifteen thousand, nine hundred fifty-one".