51111010105567 has 2 divisors, whose sum is σ = 51111010105568. Its totient is φ = 51111010105566.

The previous prime is 51111010105523. The next prime is 51111010105609. The reversal of 51111010105567 is 76550101011115.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51111010105567 - 2¹¹ = 51111010103519 is a prime.

It is a super-2 number, since 2×51111010105567² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51111010105867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25555505052783 + 25555505052784.

It is an arithmetic number, because the mean of its divisors is an integer number (25555505052784).

Almost surely, 2^{51111010105567} is an apocalyptic number.

51111010105567 is a deficient number, since it is larger than the sum of its proper divisors (1).

51111010105567 is an equidigital number, since it uses as much as digits as its factorization.

51111010105567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 34.

The spelling of 51111010105567 in words is "fifty-one trillion, one hundred eleven billion, ten million, one hundred five thousand, five hundred sixty-seven".