126527081 has 2 divisors, whose sum is σ = 126527082. Its totient is φ = 126527080.

The previous prime is 126527077. The next prime is 126527083. The reversal of 126527081 is 180725621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94264681 + 32262400 = 9709^2 + 5680^2 .

It is an emirp because it is prime and its reverse (180725621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126527081 - 2² = 126527077 is a prime.

It is a super-2 number, since 2×126527081² = 32018204452761122, which contains 22 as substring.

Together with 126527083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (126527083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63263540 + 63263541.

It is an arithmetic number, because the mean of its divisors is an integer number (63263541).

Almost surely, 2^126527081 is an apocalyptic number.

It is an amenable number.

126527081 is a deficient number, since it is larger than the sum of its proper divisors (1).

126527081 is an equidigital number, since it uses as much as digits as its factorization.

126527081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 126527081 is about 11248.4257120719. The cubic root of 126527081 is about 502.0278723486.

The spelling of 126527081 in words is "one hundred twenty-six million, five hundred twenty-seven thousand, eighty-one".