2551729888061 has 2 divisors, whose sum is σ = 2551729888062. Its totient is φ = 2551729888060.

The previous prime is 2551729888051. The next prime is 2551729888069. The reversal of 2551729888061 is 1608889271552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1727828751961 + 823901136100 = 1314469^2 + 907690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2551729888061 is a prime.

It is a super-2 number, since 2×2551729888061² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2551729887985 and 2551729888003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551729888069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275864944030 + 1275864944031.

It is an arithmetic number, because the mean of its divisors is an integer number (1275864944031).

Almost surely, 2^{2551729888061} is an apocalyptic number.

It is an amenable number.

2551729888061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551729888061 is an equidigital number, since it uses as much as digits as its factorization.

2551729888061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19353600, while the sum is 62.

The spelling of 2551729888061 in words is "two trillion, five hundred fifty-one billion, seven hundred twenty-nine million, eight hundred eighty-eight thousand, sixty-one".