51975708336001 has 2 divisors, whose sum is σ = 51975708336002. Its totient is φ = 51975708336000.

The previous prime is 51975708335921. The next prime is 51975708336043. The reversal of 51975708336001 is 10063380757915.

51975708336001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51267375695376 + 708332640625 = 7160124^2 + 841625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51975708336001 is a prime.

It is not a weakly prime, because it can be changed into another prime (51975708336301) 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 as a sum of consecutive naturals, namely, 25987854168000 + 25987854168001.

It is an arithmetic number, because the mean of its divisors is an integer number (25987854168001).

Almost surely, 2^{51975708336001} is an apocalyptic number.

It is an amenable number.

51975708336001 is a deficient number, since it is larger than the sum of its proper divisors (1).

51975708336001 is an equidigital number, since it uses as much as digits as its factorization.

51975708336001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 51975708336001 in words is "fifty-one trillion, nine hundred seventy-five billion, seven hundred eight million, three hundred thirty-six thousand, one".