51541505345 has 32 divisors (see below), whose sum is σ = 71397863424. Its totient is φ = 35349899200.

The previous prime is 51541505329. The next prime is 51541505347. The reversal of 51541505345 is 54350514515.

It is not a de Polignac number, because 51541505345 - 2⁴ = 51541505329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51541505299 and 51541505308.

It is not an unprimeable number, because it can be changed into a prime (51541505347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197117 + ... + 376746.

It is an arithmetic number, because the mean of its divisors is an integer number (2231183232).

Almost surely, 2^51541505345 is an apocalyptic number.

51541505345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51541505345 is a deficient number, since it is larger than the sum of its proper divisors (19856358079).

51541505345 is a wasteful number, since it uses less digits than its factorization.

51541505345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573973.

The product of its (nonzero) digits is 150000, while the sum is 38.

The spelling of 51541505345 in words is "fifty-one billion, five hundred forty-one million, five hundred five thousand, three hundred forty-five".