6112972800061 has 2 divisors, whose sum is σ = 6112972800062. Its totient is φ = 6112972800060.

The previous prime is 6112972800059. The next prime is 6112972800073. The reversal of 6112972800061 is 1600082792116.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4096555760025 + 2016417040036 = 2023995^2 + 1420006^2 .

It is a cyclic number.

It is not a de Polignac number, because 6112972800061 - 2¹ = 6112972800059 is a prime.

Together with 6112972800059, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 6112972799990 and 6112972800017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6112972840061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3056486400030 + 3056486400031.

It is an arithmetic number, because the mean of its divisors is an integer number (3056486400031).

Almost surely, 2^{6112972800061} is an apocalyptic number.

It is an amenable number.

6112972800061 is a deficient number, since it is larger than the sum of its proper divisors (1).

6112972800061 is an equidigital number, since it uses as much as digits as its factorization.

6112972800061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 6112972800061 in words is "six trillion, one hundred twelve billion, nine hundred seventy-two million, eight hundred thousand, sixty-one".