34012641601 has 2 divisors, whose sum is σ = 34012641602. Its totient is φ = 34012641600.

The previous prime is 34012641541. The next prime is 34012641617. The reversal of 34012641601 is 10614621043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25548825600 + 8463816001 = 159840^2 + 91999^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012641601 - 2³¹ = 31865157953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34012641601.

It is not a weakly prime, because it can be changed into another prime (34012647601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006320800 + 17006320801.

It is an arithmetic number, because the mean of its divisors is an integer number (17006320801).

Almost surely, 2^34012641601 is an apocalyptic number.

It is an amenable number.

34012641601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012641601 is an equidigital number, since it uses as much as digits as its factorization.

34012641601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 34012641601 in words is "thirty-four billion, twelve million, six hundred forty-one thousand, six hundred one".