51452522501137 has 2 divisors, whose sum is σ = 51452522501138. Its totient is φ = 51452522501136.

The previous prime is 51452522501113. The next prime is 51452522501161. The reversal of 51452522501137 is 73110522525415.

51452522501137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (51452522501113) and next prime (51452522501161).

It can be written as a sum of positive squares in only one way, i.e., 51385901212816 + 66621288321 = 7168396^2 + 258111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51452522501137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51452522501093 and 51452522501102.

It is not a weakly prime, because it can be changed into another prime (51452522502137) 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, 25726261250568 + 25726261250569.

It is an arithmetic number, because the mean of its divisors is an integer number (25726261250569).

Almost surely, 2^{51452522501137} is an apocalyptic number.

It is an amenable number.

51452522501137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51452522501137 is an equidigital number, since it uses as much as digits as its factorization.

51452522501137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420000, while the sum is 43.

The spelling of 51452522501137 in words is "fifty-one trillion, four hundred fifty-two billion, five hundred twenty-two million, five hundred one thousand, one hundred thirty-seven".