27625025126401 has 2 divisors, whose sum is σ = 27625025126402. Its totient is φ = 27625025126400.

The previous prime is 27625025126371. The next prime is 27625025126429. The reversal of 27625025126401 is 10462152052672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26741568000625 + 883457125776 = 5171225^2 + 939924^2 .

It is a cyclic number.

It is not a de Polignac number, because 27625025126401 - 2¹¹ = 27625025124353 is a prime.

It is not a weakly prime, because it can be changed into another prime (27625025126441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13812512563200 + 13812512563201.

It is an arithmetic number, because the mean of its divisors is an integer number (13812512563201).

Almost surely, 2^{27625025126401} is an apocalyptic number.

It is an amenable number.

27625025126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27625025126401 is an equidigital number, since it uses as much as digits as its factorization.

27625025126401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 27625025126401 in words is "twenty-seven trillion, six hundred twenty-five billion, twenty-five million, one hundred twenty-six thousand, four hundred one".