51313321245601 has 2 divisors, whose sum is σ = 51313321245602. Its totient is φ = 51313321245600.

The previous prime is 51313321245581. The next prime is 51313321245617. The reversal of 51313321245601 is 10654212331315.

51313321245601 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., 26808049167201 + 24505272078400 = 5177649^2 + 4950280^2 .

It is a cyclic number.

It is not a de Polignac number, because 51313321245601 - 2¹⁵ = 51313321212833 is a prime.

It is not a weakly prime, because it can be changed into another prime (51313321246601) 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, 25656660622800 + 25656660622801.

It is an arithmetic number, because the mean of its divisors is an integer number (25656660622801).

Almost surely, 2^{51313321245601} is an apocalyptic number.

It is an amenable number.

51313321245601 is a deficient number, since it is larger than the sum of its proper divisors (1).

51313321245601 is an equidigital number, since it uses as much as digits as its factorization.

51313321245601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 51313321245601 its reverse (10654212331315), we get a palindrome (61967533576916).

The spelling of 51313321245601 in words is "fifty-one trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred forty-five thousand, six hundred one".