34971651663121 has 2 divisors, whose sum is σ = 34971651663122. Its totient is φ = 34971651663120.

The previous prime is 34971651663023. The next prime is 34971651663203. The reversal of 34971651663121 is 12136615617943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34363501237521 + 608150425600 = 5862039^2 + 779840^2 .

It is a cyclic number.

It is not a de Polignac number, because 34971651663121 - 2⁷ = 34971651662993 is a prime.

It is not a weakly prime, because it can be changed into another prime (34971651663821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17485825831560 + 17485825831561.

It is an arithmetic number, because the mean of its divisors is an integer number (17485825831561).

Almost surely, 2^{34971651663121} is an apocalyptic number.

It is an amenable number.

34971651663121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34971651663121 is an equidigital number, since it uses as much as digits as its factorization.

34971651663121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4898880, while the sum is 55.

The spelling of 34971651663121 in words is "thirty-four trillion, nine hundred seventy-one billion, six hundred fifty-one million, six hundred sixty-three thousand, one hundred twenty-one".