51735413201 has 2 divisors, whose sum is σ = 51735413202. Its totient is φ = 51735413200.

The previous prime is 51735413189. The next prime is 51735413237. The reversal of 51735413201 is 10231453715.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31826203201 + 19909210000 = 178399^2 + 141100^2 .

It is a cyclic number.

It is not a de Polignac number, because 51735413201 - 2¹⁸ = 51735151057 is a prime.

It is not a weakly prime, because it can be changed into another prime (51735413501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25867706600 + 25867706601.

It is an arithmetic number, because the mean of its divisors is an integer number (25867706601).

Almost surely, 2^51735413201 is an apocalyptic number.

It is an amenable number.

51735413201 is a deficient number, since it is larger than the sum of its proper divisors (1).

51735413201 is an equidigital number, since it uses as much as digits as its factorization.

51735413201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 51735413201 its reverse (10231453715), we get a palindrome (61966866916).

The spelling of 51735413201 in words is "fifty-one billion, seven hundred thirty-five million, four hundred thirteen thousand, two hundred one".