51056605601657 has 2 divisors, whose sum is σ = 51056605601658. Its totient is φ = 51056605601656.

The previous prime is 51056605601653. The next prime is 51056605601669. The reversal of 51056605601657 is 75610650665015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42518498225641 + 8538107376016 = 6520621^2 + 2922004^2 .

It is a cyclic number.

It is not a de Polignac number, because 51056605601657 - 2² = 51056605601653 is a prime.

It is a super-2 number, since 2×51056605601657² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51056605601599 and 51056605601608.

It is not a weakly prime, because it can be changed into another prime (51056605601653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25528302800828 + 25528302800829.

It is an arithmetic number, because the mean of its divisors is an integer number (25528302800829).

Almost surely, 2^{51056605601657} is an apocalyptic number.

It is an amenable number.

51056605601657 is a deficient number, since it is larger than the sum of its proper divisors (1).

51056605601657 is an equidigital number, since it uses as much as digits as its factorization.

51056605601657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670000, while the sum is 53.

The spelling of 51056605601657 in words is "fifty-one trillion, fifty-six billion, six hundred five million, six hundred one thousand, six hundred fifty-seven".