52105200127 has 2 divisors, whose sum is σ = 52105200128. Its totient is φ = 52105200126.

The previous prime is 52105200097. The next prime is 52105200137. The reversal of 52105200127 is 72100250125.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52105200127 is a prime.

It is a super-3 number, since 3×52105200127³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52105200137) 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, 26052600063 + 26052600064.

It is an arithmetic number, because the mean of its divisors is an integer number (26052600064).

Almost surely, 2^52105200127 is an apocalyptic number.

52105200127 is a deficient number, since it is larger than the sum of its proper divisors (1).

52105200127 is an equidigital number, since it uses as much as digits as its factorization.

52105200127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 52105200127 in words is "fifty-two billion, one hundred five million, two hundred thousand, one hundred twenty-seven".