51006010610977 has 2 divisors, whose sum is σ = 51006010610978. Its totient is φ = 51006010610976.

The previous prime is 51006010610963. The next prime is 51006010610981. The reversal of 51006010610977 is 77901601060015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31017949029376 + 19988061581601 = 5569376^2 + 4470801^2 .

It is a cyclic number.

It is not a de Polignac number, because 51006010610977 - 2¹⁵ = 51006010578209 is a prime.

It is a super-2 number, since 2×51006010610977² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51006010610377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25503005305488 + 25503005305489.

It is an arithmetic number, because the mean of its divisors is an integer number (25503005305489).

Almost surely, 2^{51006010610977} is an apocalyptic number.

It is an amenable number.

51006010610977 is a deficient number, since it is larger than the sum of its proper divisors (1).

51006010610977 is an equidigital number, since it uses as much as digits as its factorization.

51006010610977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 43.

The spelling of 51006010610977 in words is "fifty-one trillion, six billion, ten million, six hundred ten thousand, nine hundred seventy-seven".