51540116525617 has 2 divisors, whose sum is σ = 51540116525618. Its totient is φ = 51540116525616.

The previous prime is 51540116525561. The next prime is 51540116525647. The reversal of 51540116525617 is 71652561104515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42197808128256 + 9342308397361 = 6495984^2 + 3056519^2 .

It is a cyclic number.

It is not a de Polignac number, because 51540116525617 - 2¹¹ = 51540116523569 is a prime.

It is a super-2 number, since 2×51540116525617² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51540116525647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25770058262808 + 25770058262809.

It is an arithmetic number, because the mean of its divisors is an integer number (25770058262809).

Almost surely, 2^{51540116525617} is an apocalyptic number.

It is an amenable number.

51540116525617 is a deficient number, since it is larger than the sum of its proper divisors (1).

51540116525617 is an equidigital number, since it uses as much as digits as its factorization.

51540116525617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260000, while the sum is 49.

The spelling of 51540116525617 in words is "fifty-one trillion, five hundred forty billion, one hundred sixteen million, five hundred twenty-five thousand, six hundred seventeen".