551599006561 has 2 divisors, whose sum is σ = 551599006562. Its totient is φ = 551599006560.

The previous prime is 551599006457. The next prime is 551599006573. The reversal of 551599006561 is 165600995155.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328466534400 + 223132472161 = 573120^2 + 472369^2 .

It is a cyclic number.

It is not a de Polignac number, because 551599006561 - 2¹¹ = 551599004513 is a prime.

It is a super-2 number, since 2×551599006561² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 551599006499 and 551599006508.

It is not a weakly prime, because it can be changed into another prime (551599001561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 275799503280 + 275799503281.

It is an arithmetic number, because the mean of its divisors is an integer number (275799503281).

Almost surely, 2^551599006561 is an apocalyptic number.

It is an amenable number.

551599006561 is a deficient number, since it is larger than the sum of its proper divisors (1).

551599006561 is an equidigital number, since it uses as much as digits as its factorization.

551599006561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1822500, while the sum is 52.

The spelling of 551599006561 in words is "five hundred fifty-one billion, five hundred ninety-nine million, six thousand, five hundred sixty-one".