27752513101 has 2 divisors, whose sum is σ = 27752513102. Its totient is φ = 27752513100.

The previous prime is 27752513099. The next prime is 27752513221. The reversal of 27752513101 is 10131525772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27258340201 + 494172900 = 165101^2 + 22230^2 .

It is a cyclic number.

It is not a de Polignac number, because 27752513101 - 2¹ = 27752513099 is a prime.

Together with 27752513099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27752313101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13876256550 + 13876256551.

It is an arithmetic number, because the mean of its divisors is an integer number (13876256551).

Almost surely, 2^27752513101 is an apocalyptic number.

It is an amenable number.

27752513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

27752513101 is an equidigital number, since it uses as much as digits as its factorization.

27752513101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 34.

The spelling of 27752513101 in words is "twenty-seven billion, seven hundred fifty-two million, five hundred thirteen thousand, one hundred one".