114524252505001 has 2 divisors, whose sum is σ = 114524252505002. Its totient is φ = 114524252505000.

The previous prime is 114524252504971. The next prime is 114524252505007. The reversal of 114524252505001 is 100505252425411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76713424304400 + 37810828200601 = 8758620^2 + 6149051^2 .

It is a cyclic number.

It is not a de Polignac number, because 114524252505001 - 2²¹ = 114524250407849 is a prime.

It is not a weakly prime, because it can be changed into another prime (114524252505007) 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, 57262126252500 + 57262126252501.

It is an arithmetic number, because the mean of its divisors is an integer number (57262126252501).

Almost surely, 2^{114524252505001} is an apocalyptic number.

It is an amenable number.

114524252505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114524252505001 is an equidigital number, since it uses as much as digits as its factorization.

114524252505001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80000, while the sum is 37.

The spelling of 114524252505001 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred fifty-two million, five hundred five thousand, one".