51516356125417 has 2 divisors, whose sum is σ = 51516356125418. Its totient is φ = 51516356125416.

The previous prime is 51516356125357. The next prime is 51516356125441. The reversal of 51516356125417 is 71452165361515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46013104623616 + 5503251501801 = 6783296^2 + 2345901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51516356125417 is a prime.

It is not a weakly prime, because it can be changed into another prime (51516356125517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25758178062708 + 25758178062709.

It is an arithmetic number, because the mean of its divisors is an integer number (25758178062709).

Almost surely, 2^{51516356125417} is an apocalyptic number.

It is an amenable number.

51516356125417 is a deficient number, since it is larger than the sum of its proper divisors (1).

51516356125417 is an equidigital number, since it uses as much as digits as its factorization.

51516356125417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780000, while the sum is 52.

The spelling of 51516356125417 in words is "fifty-one trillion, five hundred sixteen billion, three hundred fifty-six million, one hundred twenty-five thousand, four hundred seventeen".