34652812561 has 2 divisors, whose sum is σ = 34652812562. Its totient is φ = 34652812560.

The previous prime is 34652812459. The next prime is 34652812573. The reversal of 34652812561 is 16521825643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34106702400 + 546110161 = 184680^2 + 23369^2 .

It is a cyclic number.

It is not a de Polignac number, because 34652812561 - 2¹⁷ = 34652681489 is a prime.

It is not a weakly prime, because it can be changed into another prime (34652812261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17326406280 + 17326406281.

It is an arithmetic number, because the mean of its divisors is an integer number (17326406281).

Almost surely, 2^34652812561 is an apocalyptic number.

It is an amenable number.

34652812561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34652812561 is an equidigital number, since it uses as much as digits as its factorization.

34652812561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 345600, while the sum is 43.

The spelling of 34652812561 in words is "thirty-four billion, six hundred fifty-two million, eight hundred twelve thousand, five hundred sixty-one".