61000010081 has 2 divisors, whose sum is σ = 61000010082. Its totient is φ = 61000010080.

The previous prime is 61000010039. The next prime is 61000010083. The reversal of 61000010081 is 18001000016.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57166419025 + 3833591056 = 239095^2 + 61916^2 .

It is a cyclic number.

It is not a de Polignac number, because 61000010081 - 2³⁰ = 59926268257 is a prime.

It is a super-3 number, since 3×61000010081³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 61000010083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (61000010083) 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, 30500005040 + 30500005041.

It is an arithmetic number, because the mean of its divisors is an integer number (30500005041).

Almost surely, 2^61000010081 is an apocalyptic number.

It is an amenable number.

61000010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

61000010081 is an equidigital number, since it uses as much as digits as its factorization.

61000010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 61000010081 its reverse (18001000016), we get a palindrome (79001010097).

The spelling of 61000010081 in words is "sixty-one billion, ten thousand, eighty-one".