51442017587257 has 24 divisors (see below), whose sum is σ = 56729605205000. Its totient is φ = 46611746438400.

The previous prime is 51442017587167. The next prime is 51442017587263. The reversal of 51442017587257 is 75278571024415.

51442017587257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3715626339216 + 47726391248041 = 1927596^2 + 6908429^2 .

It is not a de Polignac number, because 51442017587257 - 2²⁷ = 51441883369529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51442017582257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452184619 + ... + 452298367.

Almost surely, 2^{51442017587257} is an apocalyptic number.

It is an amenable number.

51442017587257 is a deficient number, since it is larger than the sum of its proper divisors (5287587617743).

51442017587257 is a wasteful number, since it uses less digits than its factorization.

51442017587257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126025 (or 126014 counting only the distinct ones).

The product of its (nonzero) digits is 21952000, while the sum is 58.

The spelling of 51442017587257 in words is "fifty-one trillion, four hundred forty-two billion, seventeen million, five hundred eighty-seven thousand, two hundred fifty-seven".