51552565761101 has 2 divisors, whose sum is σ = 51552565761102. Its totient is φ = 51552565761100.

The previous prime is 51552565761071. The next prime is 51552565761107. The reversal of 51552565761101 is 10116756525515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36426113514025 + 15126452247076 = 6035405^2 + 3889274^2 .

It is a cyclic number.

It is not a de Polignac number, because 51552565761101 - 2³⁰ = 51551492019277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51552565761101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51552565761107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25776282880550 + 25776282880551.

It is an arithmetic number, because the mean of its divisors is an integer number (25776282880551).

Almost surely, 2^{51552565761101} is an apocalyptic number.

It is an amenable number.

51552565761101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51552565761101 is an equidigital number, since it uses as much as digits as its factorization.

51552565761101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575000, while the sum is 50.

The spelling of 51552565761101 in words is "fifty-one trillion, five hundred fifty-two billion, five hundred sixty-five million, seven hundred sixty-one thousand, one hundred one".