34513618561 has 2 divisors, whose sum is σ = 34513618562. Its totient is φ = 34513618560.

The previous prime is 34513618483. The next prime is 34513618567. The reversal of 34513618561 is 16581631543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33959486961 + 554131600 = 184281^2 + 23540^2 .

It is a cyclic number.

It is not a de Polignac number, because 34513618561 - 2¹¹ = 34513616513 is a prime.

It is a super-3 number, since 3×34513618561³ (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34513618567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17256809280 + 17256809281.

It is an arithmetic number, because the mean of its divisors is an integer number (17256809281).

Almost surely, 2^34513618561 is an apocalyptic number.

It is an amenable number.

34513618561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513618561 is an equidigital number, since it uses as much as digits as its factorization.

34513618561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 259200, while the sum is 43.

The spelling of 34513618561 in words is "thirty-four billion, five hundred thirteen million, six hundred eighteen thousand, five hundred sixty-one".