34013410808051 has 2 divisors, whose sum is σ = 34013410808052. Its totient is φ = 34013410808050.

The previous prime is 34013410807963. The next prime is 34013410808059. The reversal of 34013410808051 is 15080801431043.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34013410808051 - 2²⁶ = 34013343699187 is a prime.

It is a super-2 number, since 2×34013410808051² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34013410807996 and 34013410808014.

It is not a weakly prime, because it can be changed into another prime (34013410808059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006705404025 + 17006705404026.

It is an arithmetic number, because the mean of its divisors is an integer number (17006705404026).

Almost surely, 2^{34013410808051} is an apocalyptic number.

34013410808051 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013410808051 is an equidigital number, since it uses as much as digits as its factorization.

34013410808051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 34013410808051 in words is "thirty-four trillion, thirteen billion, four hundred ten million, eight hundred eight thousand, fifty-one".