112529033 has 2 divisors, whose sum is σ = 112529034. Its totient is φ = 112529032.

The previous prime is 112529029. The next prime is 112529057. The reversal of 112529033 is 330925211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109662784 + 2866249 = 10472^2 + 1693^2 .

It is an emirp because it is prime and its reverse (330925211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112529033 - 2² = 112529029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112528993 and 112529011.

It is not a weakly prime, because it can be changed into another prime (112529003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56264516 + 56264517.

It is an arithmetic number, because the mean of its divisors is an integer number (56264517).

Almost surely, 2^112529033 is an apocalyptic number.

It is an amenable number.

112529033 is a deficient number, since it is larger than the sum of its proper divisors (1).

112529033 is an equidigital number, since it uses as much as digits as its factorization.

112529033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 112529033 is about 10607.9702582539. The cubic root of 112529033 is about 482.7862162174.

The spelling of 112529033 in words is "one hundred twelve million, five hundred twenty-nine thousand, thirty-three".