112541524001 has 2 divisors, whose sum is σ = 112541524002. Its totient is φ = 112541524000.

The previous prime is 112541523989. The next prime is 112541524027. The reversal of 112541524001 is 100425145211.

It is a happy number.

It is an a-pointer prime, because the next prime (112541524027) can be obtained adding 112541524001 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93743742976 + 18797781025 = 306176^2 + 137105^2 .

It is a cyclic number.

It is not a de Polignac number, because 112541524001 - 2¹⁸ = 112541261857 is a prime.

It is not a weakly prime, because it can be changed into another prime (112541526001) 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, 56270762000 + 56270762001.

It is an arithmetic number, because the mean of its divisors is an integer number (56270762001).

Almost surely, 2^112541524001 is an apocalyptic number.

It is an amenable number.

112541524001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112541524001 is an equidigital number, since it uses as much as digits as its factorization.

112541524001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 112541524001 its reverse (100425145211), we get a palindrome (212966669212).

The spelling of 112541524001 in words is "one hundred twelve billion, five hundred forty-one million, five hundred twenty-four thousand, one".