51414566541 has 16 divisors (see below), whose sum is σ = 73850523264. Its totient is φ = 31629242304.

The previous prime is 51414566521. The next prime is 51414566543. The reversal of 51414566541 is 14566541415.

It is not a de Polignac number, because 51414566541 - 2²⁶ = 51347457677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51414566493 and 51414566502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414566543) 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 in 15 ways as a sum of consecutive naturals, for example, 98601 + ... + 335486.

It is an arithmetic number, because the mean of its divisors is an integer number (4615657704).

Almost surely, 2^51414566541 is an apocalyptic number.

It is an amenable number.

51414566541 is a deficient number, since it is larger than the sum of its proper divisors (22435956723).

51414566541 is a wasteful number, since it uses less digits than its factorization.

51414566541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437140.

The product of its digits is 288000, while the sum is 42.

The spelling of 51414566541 in words is "fifty-one billion, four hundred fourteen million, five hundred sixty-six thousand, five hundred forty-one".