51564415241 has 8 divisors (see below), whose sum is σ = 51996360360. Its totient is φ = 51133275648.

The previous prime is 51564415237. The next prime is 51564415303. The reversal of 51564415241 is 14251446515.

It can be written as a sum of positive squares in 4 ways, for example, as 1106227600 + 50458187641 = 33260^2 + 224629^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51564415241 - 2² = 51564415237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51564415195 and 51564415204.

It is not an unprimeable number, because it can be changed into a prime (51564415211) 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 7 ways as a sum of consecutive naturals, for example, 72476 + ... + 329213.

It is an arithmetic number, because the mean of its divisors is an integer number (6499545045).

Almost surely, 2^51564415241 is an apocalyptic number.

It is an amenable number.

51564415241 is a deficient number, since it is larger than the sum of its proper divisors (431945119).

51564415241 is a wasteful number, since it uses less digits than its factorization.

51564415241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402763.

The product of its digits is 96000, while the sum is 38.

The spelling of 51564415241 in words is "fifty-one billion, five hundred sixty-four million, four hundred fifteen thousand, two hundred forty-one".