51088601147693 has 2 divisors, whose sum is σ = 51088601147694. Its totient is φ = 51088601147692.

The previous prime is 51088601147681. The next prime is 51088601147729. The reversal of 51088601147693 is 39674110688015.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37711426567369 + 13377174580324 = 6140963^2 + 3657482^2 .

It is a cyclic number.

It is not a de Polignac number, because 51088601147693 - 2²² = 51088596953389 is a prime.

It is a super-3 number, since 3×51088601147693³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51088601147603) 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, 25544300573846 + 25544300573847.

It is an arithmetic number, because the mean of its divisors is an integer number (25544300573847).

Almost surely, 2^{51088601147693} is an apocalyptic number.

It is an amenable number.

51088601147693 is a deficient number, since it is larger than the sum of its proper divisors (1).

51088601147693 is an equidigital number, since it uses as much as digits as its factorization.

51088601147693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 51088601147693 in words is "fifty-one trillion, eighty-eight billion, six hundred one million, one hundred forty-seven thousand, six hundred ninety-three".