27525445005001 has 2 divisors, whose sum is σ = 27525445005002. Its totient is φ = 27525445005000.

The previous prime is 27525445004969. The next prime is 27525445005013. The reversal of 27525445005001 is 10050054452572.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19554535046601 + 7970909958400 = 4422051^2 + 2823280^2 .

It is a cyclic number.

It is not a de Polignac number, because 27525445005001 - 2⁵ = 27525445004969 is a prime.

It is not a weakly prime, because it can be changed into another prime (27525445005031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13762722502500 + 13762722502501.

It is an arithmetic number, because the mean of its divisors is an integer number (13762722502501).

Almost surely, 2^{27525445005001} is an apocalyptic number.

It is an amenable number.

27525445005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27525445005001 is an equidigital number, since it uses as much as digits as its factorization.

27525445005001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280000, while the sum is 40.

Adding to 27525445005001 its reverse (10050054452572), we get a palindrome (37575499457573).

The spelling of 27525445005001 in words is "twenty-seven trillion, five hundred twenty-five billion, four hundred forty-five million, five thousand, one".